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Differential Geometry

Authors and titles for math.DG in Mar 2024

[ total of 213 entries: 1-213 ]
[ showing 213 entries per page: fewer | more ]
[1]  arXiv:2403.00002 [pdf, ps, other]
Title: Gradient estimate for Fisher-KPP equation on Finsler metric measure spaces
Authors: Bin Shen, Dingli Xia
Comments: arXiv admin note: substantial text overlap with arXiv:2401.10894, arXiv:2312.06617
Subjects: Differential Geometry (math.DG)
[2]  arXiv:2403.00084 [pdf, ps, other]
Title: The heterotic G$_2$ system with reducible characteristic holonomy
Authors: Mateo Galdeano, Leander Stecker
Comments: 47 pages
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th)
[3]  arXiv:2403.00388 [pdf, other]
Title: New Rigidity Results for Critical Metrics of Some Quadratic Curvature Functionals
Authors: Marco Bernardini
Comments: 17 pages
Subjects: Differential Geometry (math.DG)
[4]  arXiv:2403.00487 [pdf, ps, other]
Title: The total absolute curvature of closed curves with singularities
Authors: Atsufumi Honda, Chisa Tanaka, Yuta Yamauchi
Comments: 13 pages, 25 figures
Subjects: Differential Geometry (math.DG)
[5]  arXiv:2403.00548 [pdf, ps, other]
Title: Special Joyce structures and hyperkähler metrics
Authors: Iván Tulli
Comments: 31 pages. v2: Definition of special Joyce structure generalized to allow for a complex-valued J. Main result unchanged. Appendix B and references added
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG)
[6]  arXiv:2403.00697 [pdf, ps, other]
Title: The Ricci-flatness that lurks in weight
Authors: Diego Conti
Comments: 18 pages, 3 tables; includes an ancillary file with 8 more tables
Subjects: Differential Geometry (math.DG)
[7]  arXiv:2403.00708 [pdf, ps, other]
Title: On the Hamilton-Lott conjecture in higher dimensions
Authors: Alix Deruelle, Felix Schulze, Miles Simon
Comments: 34 pages, introduction slightly extended and references updated
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[8]  arXiv:2403.00731 [pdf, ps, other]
Title: On Locally Conformal Spin(7) Structure
Authors: Eyup Yalcinkaya
Subjects: Differential Geometry (math.DG)
[9]  arXiv:2403.01138 [pdf, ps, other]
Title: First eigenvalue characterization of Clifford hypersurfaces and Veronese surface
Authors: PeiYi Wu
Comments: 12 pages
Subjects: Differential Geometry (math.DG)
[10]  arXiv:2403.01340 [pdf, ps, other]
Title: An eternal hypersurface flow arising in centro-affine geometry
Authors: Xinjie Jiang, Changzheng Qu, Yun Yang
Subjects: Differential Geometry (math.DG)
[11]  arXiv:2403.01372 [pdf, ps, other]
Title: Rotational surfaces in a normed 3-space whose principal curvatures satisfy a linear relation
Authors: Makoto Sakaki, Kakeru Yanase
Comments: 30 pages
Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)
[12]  arXiv:2403.01453 [pdf, ps, other]
Title: The rigidity of minimal Legendrian submanifolds in the Euclidean spheres via eigenvalues of fundamental matrices
Authors: Pei-Yi Wu, Ling Yang
Comments: 19 pages
Subjects: Differential Geometry (math.DG)
[13]  arXiv:2403.01459 [pdf, ps, other]
Title: Integrable geodesic flow in 3D and webs of maximal rank
Authors: Sergey I. Agafonov
Comments: 18 pages
Subjects: Differential Geometry (math.DG)
[14]  arXiv:2403.01701 [pdf, ps, other]
Title: A new characterization for Clifford hypersurfaces
Authors: Qing Cui, Carlos Peñafiel
Comments: 7 pages, no figure
Subjects: Differential Geometry (math.DG)
[15]  arXiv:2403.02038 [pdf, ps, other]
Title: Almost Ricci solitons on Finsler spaces
Authors: Qiaoling Xia
Comments: All comments and suggestions are welcome
Subjects: Differential Geometry (math.DG)
[16]  arXiv:2403.02077 [pdf, other]
Title: A quantitative closing Lemma and Partner orbits on Riemannian manifolds with negative curvature
Authors: Michela Egidi, Gerhard Knieper
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Dynamical Systems (math.DS)
[17]  arXiv:2403.02079 [pdf, other]
Title: The ultimate upper bound on the injectivity radius of the Stiefel manifold
Authors: P.-A. Absil, Simon Mataigne
Comments: v2: fixed MSC codes; fixed typo in the penultimate sentence of the proof of Theorem 6.1; added section 9 (Concluding remarks)
Subjects: Differential Geometry (math.DG); Optimization and Control (math.OC)
[18]  arXiv:2403.02104 [pdf, ps, other]
Title: More weakly biharmonic maps from the ball to the sphere
Authors: Volker Branding
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[19]  arXiv:2403.02406 [pdf, ps, other]
Title: Minimal Surface Equation and Bernstein Property on RCD spaces
Authors: Alessandro Cucinotta
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[20]  arXiv:2403.02447 [pdf, ps, other]
Title: Compact Einstein-type manifolds with parallel Ricci tensor
Authors: Maria Andrade, Halyson Baltazar, Christopher Queiroz
Subjects: Differential Geometry (math.DG)
[21]  arXiv:2403.02501 [pdf, other]
Title: Boundary Behavior of Compact Manifolds With Scalar Curvature Lower Bounds and Static Quasi-Local Mass of Tori
Authors: Aghil Alaee, Pei-Ken Hung, Marcus Khuri
Comments: 14 pages
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
[22]  arXiv:2403.02564 [pdf, ps, other]
Title: Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature
Authors: Albert Chau, Adam Martens
Comments: 27 pages
Subjects: Differential Geometry (math.DG)
[23]  arXiv:2403.03200 [pdf, other]
Title: Concavity Properties of Solutions of Elliptic Equations under Conformal Deformations
Authors: Gabriel Khan, Soumyajit Saha, Malik Tuerkoen
Comments: 18 pages, 1 figure. All comments are welcome!
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Spectral Theory (math.SP)
[24]  arXiv:2403.03941 [pdf, other]
Title: Scalar curvature deformations with non-compact boundaries
Authors: Helge Frerichs
Subjects: Differential Geometry (math.DG)
[25]  arXiv:2403.04034 [pdf, ps, other]
Title: Sobolev regularity of compactified 3-manifolds and the ADM Center of Mass
Authors: Rodrigo Avalos
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP)
[26]  arXiv:2403.04049 [pdf, other]
Title: Some metric geometry of the icosahedron
Authors: Richard Cushman
Comments: arXiv admin note: text overlap with arXiv:1907.04456
Subjects: Differential Geometry (math.DG)
[27]  arXiv:2403.04089 [pdf, ps, other]
Title: A family of Kähler flying wing steady Ricci solitons
Authors: Pak-Yeung Chan, Ronan J. Conlon, Yi Lai
Subjects: Differential Geometry (math.DG)
[28]  arXiv:2403.04117 [pdf, other]
Title: New quasi-Einstein metrics on a two-sphere
Authors: Alex Colling, Maciej Dunajski, Hari Kunduri, James Lucietti
Comments: v2: minor edits, reference added
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
[29]  arXiv:2403.04223 [pdf, other]
Title: Spectrum of the Laplacian and the Jacobi operator on Generalized rotational minimal hypersurfaces of spheres
Authors: Oscar Perdomo
Comments: 19 pages 23 images
Subjects: Differential Geometry (math.DG); Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS)
[30]  arXiv:2403.04402 [pdf, other]
Title: Analytic torsion for fibred boundary metrics and conic degeneration
Authors: Jørgen Olsen Lye, Boris Vertman
Comments: 38 pages,10 figures
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Spectral Theory (math.SP)
[31]  arXiv:2403.04595 [pdf, other]
Title: Free boundary CMC annuli in spherical and hyperbolic balls
Authors: Alberto Cerezo, Isabel Fernandez, Pablo Mira
Comments: 42 pages, 7 figures
Subjects: Differential Geometry (math.DG)
[32]  arXiv:2403.04681 [pdf, ps, other]
Title: On the rigidity of the complex Grassmannians
Authors: Paul Schwahn, Uwe Semmelmann
Comments: v1: 30 pages. v2: 31 pages, corrected numerical error introduced in arXiv:2305.07391, simplified discussion at the end
Subjects: Differential Geometry (math.DG)
[33]  arXiv:2403.04849 [pdf, other]
Title: Gears and pulleys in non-Euclidean space forms
Authors: Heleno S. Cunha, Lucas H. R. de Souza, Sergio A. P. Prado
Comments: 11 pages
Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)
[34]  arXiv:2403.05305 [pdf, ps, other]
Title: On discrete Routh reduction and structures on the reduced space
Authors: Matías I. Caruso, Javier Fernández, Cora Tori, Marcela Zuccalli
Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS)
[35]  arXiv:2403.05392 [pdf, other]
Title: All paths admit trajectoids
Authors: Péter L. Várkonyi
Subjects: Differential Geometry (math.DG)
[36]  arXiv:2403.05475 [pdf, ps, other]
Title: Geometric inverse problems on gas giants
Authors: Maarten V. de Hoop, Joonas Ilmavirta, Antti Kykkänen, Rafe Mazzeo
Comments: 42 pages
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[37]  arXiv:2403.05707 [pdf, ps, other]
Title: Towards a geometric theory of integration
Authors: Filip Bár
Comments: 13 pages, 5 figures. Submitted to "Theory and Applications of Categories"
Subjects: Differential Geometry (math.DG)
[38]  arXiv:2403.05777 [pdf, other]
Title: Combinatorial p-th Calabi Flows for Total Geodesic Curvatures in hyperbolic background geometry
Authors: Guangming Hu, Ziping Lei, Yi Qi, Puchun Zhou
Comments: 25 pages, 4 figures
Subjects: Differential Geometry (math.DG); Geometric Topology (math.GT)
[39]  arXiv:2403.05985 [pdf, ps, other]
Title: Local and global blow-downs of transport twistor space
Authors: Jan Bohr, François Monard, Gabriel P. Paternain
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Complex Variables (math.CV)
[40]  arXiv:2403.06081 [pdf, ps, other]
Title: A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere
Authors: Matheus Nunes Soares, Fábio Reis dos Santos
Comments: Suggestions are welcomed!
Subjects: Differential Geometry (math.DG)
[41]  arXiv:2403.06216 [pdf, ps, other]
Title: Quasi-spherical metrics and the static Minkowski inequality
Authors: Brian Harvie, Ye-Kai Wang
Comments: 39 pages, no figures, comments welcome
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP)
[42]  arXiv:2403.06427 [pdf, other]
Title: Asymptotic behavior of unstable perturbations of the Fubini-Study metric in Ricci flow
Authors: David Garfinkle, James Isenberg, Dan Knopf, Haotian Wu
Comments: 14 pages, 3 figures. Comments are welcome!
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[43]  arXiv:2403.06511 [pdf, ps, other]
Title: Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres
Authors: Rayssa Caju, Jesse Ratzkin, Almir Silva Santos
Comments: 17 pages
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Symplectic Geometry (math.SG)
[44]  arXiv:2403.06548 [pdf, ps, other]
Title: Differential geometry and general relativity with algebraifolds
Authors: Tobias Fritz
Comments: 53 pages
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
[45]  arXiv:2403.06597 [pdf, other]
Title: Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space
Authors: Xiaohan Jia, Xuwen Zhang
Comments: 49 pages, comments are welcome!
Subjects: Differential Geometry (math.DG)
[46]  arXiv:2403.06602 [pdf, other]
Title: Isoperimetric Inequalities on Slabs with applications to Cubes and Gaussian Slabs
Authors: Emanuel Milman
Comments: 61 pages, 9 figures. Added references and a figure, corrected typos, and rigorously justified the numeric computation in the Appendix
Subjects: Differential Geometry (math.DG); Functional Analysis (math.FA); Metric Geometry (math.MG)
[47]  arXiv:2403.06612 [pdf, ps, other]
Title: Pulling back symmetric Riemannian geometry for data analysis
Authors: Willem Diepeveen
Subjects: Differential Geometry (math.DG); Machine Learning (cs.LG)
[48]  arXiv:2403.06721 [pdf, ps, other]
Title: Fundamental Theorems for Timelike Surfaces in the Minkowski 4-Space
Authors: Victoria Bencheva, Velichka Milousheva
Comments: 10 pages. arXiv admin note: text overlap with arXiv:2401.09024
Journal-ref: C. R. Acad. Bulg. Sci., vol. 77, no. 2 (2024), pp. 167-178
Subjects: Differential Geometry (math.DG)
[49]  arXiv:2403.06782 [pdf, ps, other]
Title: Mass from an extrinsic point of view
Authors: Alexandre de Sousa, Frederico Girão
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc)
[50]  arXiv:2403.07258 [pdf, ps, other]
Title: Harmonic metrics for Higgs bundles of rank 3 in the Hitchin section
Authors: Hitoshi Fujioka
Comments: 23 pages
Subjects: Differential Geometry (math.DG)
[51]  arXiv:2403.07281 [pdf, ps, other]
Title: Locally constrained flows and geometric inequalities in sphere
Authors: Shanwei Ding, Guanghan Li
Comments: There are some errors in the case of hyperbolic space in v1. We removed the corresponding part, and added a locally constrained flow in sphere
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[52]  arXiv:2403.07698 [pdf, ps, other]
Title: The Kazdan-Warner problem on compact Kähler surfaces
Authors: Weike Yu
Comments: 12 pages
Subjects: Differential Geometry (math.DG)
[53]  arXiv:2403.07702 [pdf, ps, other]
Title: Lipschitz maps with prescribed local Lipschitz constants
Authors: Aidan Backus, Ng Ze-An
Comments: 13 pages
Subjects: Differential Geometry (math.DG); Classical Analysis and ODEs (math.CA)
[54]  arXiv:2403.07841 [pdf, ps, other]
Title: Critical metrics of eigenvalue functionals via Clarke subdifferential
Authors: Romain Petrides, David Tewodrose
Subjects: Differential Geometry (math.DG); Functional Analysis (math.FA); Spectral Theory (math.SP)
[55]  arXiv:2403.08005 [pdf, ps, other]
Title: Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds
Authors: Zetian Yan
Comments: Update the introduction and add some details on preliminaries and in Section 5. Comments are welcome
Subjects: Differential Geometry (math.DG)
[56]  arXiv:2403.08090 [pdf, ps, other]
Title: Controllability of shapes through Landmark Manifolds
Authors: Erlend Grong, Sylvie Vega-Molino
Subjects: Differential Geometry (math.DG)
[57]  arXiv:2403.08205 [pdf, ps, other]
Title: PMCV hypersurfaces in non-flat pseudo-Riemannian space forms
Authors: Chao Yang, Jiancheng Liu, Li Du
Subjects: Differential Geometry (math.DG)
[58]  arXiv:2403.08259 [pdf, ps, other]
Title: The trace operator of quasi-plurisubharmonic functions on compact Kähler manifolds
Authors: Tamás Darvas, Mingchen Xia
Comments: v.1 comments welcome
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
[59]  arXiv:2403.08402 [pdf, ps, other]
Title: The prescribed Ricci curvature problem on 5-dimensional nilpotent Lie groups
Authors: Marius Landry Foka, Romain Pefoukeu Nimpa, Salomon Joseph Mbatakou, Michel Bertrand Ngaha Djiadeu, Thomas Bouetou Bouetou
Subjects: Differential Geometry (math.DG)
[60]  arXiv:2403.08509 [pdf, other]
Title: Torsion-free connections of second-order maximally superintegrable systems
Authors: Andreas Vollmer
Comments: 11 pages
Subjects: Differential Geometry (math.DG)
[61]  arXiv:2403.08647 [pdf, other]
Title: Rigidity of Einstein manifolds with positive Yamabe invariant
Authors: Letizia Branca, Giovanni Catino, Davide Dameno, Paolo Mastrolia
Subjects: Differential Geometry (math.DG)
[62]  arXiv:2403.08925 [pdf, ps, other]
Title: Large Steklov eigenvalues under volume constraints
Authors: Alexandre Girouard, Panagiotis Polymerakis
Comments: 19 pages
Subjects: Differential Geometry (math.DG); Spectral Theory (math.SP)
[63]  arXiv:2403.08960 [pdf, ps, other]
Title: Gromoll--Meyer's actions and the geometry of (exotic) spacetimes
Authors: Leonardo F. Cavenaghi, Lino Grama
Comments: Accepted paper. To appear in Differential Geometry and its Applications
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)
[64]  arXiv:2403.09074 [pdf, ps, other]
Title: Local first integrals for stochastic differential equations
Authors: Kaiyin Huang, Wenlei Li, Shaoyun Shi, Zhiguo Xu
Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS); Probability (math.PR)
[65]  arXiv:2403.09120 [pdf, other]
Title: On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle
Authors: Tomoyuki Hisamoto
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)
[66]  arXiv:2403.09169 [pdf, ps, other]
Title: Novel Boundary Conditions for the Ricci Flow
Authors: Rasmus Jouttijärvi
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[67]  arXiv:2403.09191 [pdf, other]
Title: Superintegrable systems on conformal surfaces
Authors: Jonathan Kress, Konrad Schöbel, Andreas Vollmer
Comments: 26 pages, 1 table
Subjects: Differential Geometry (math.DG)
[68]  arXiv:2403.09348 [pdf, ps, other]
Title: Pinched theorem and the reverse Yau's inequalities for compact Kähler-Einstein manifolds
Authors: Rong Du
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)
[69]  arXiv:2403.09633 [pdf, other]
Title: On locally symmetric polynomial metrics: Riemannian and Finslerian surfaces
Authors: Csaba Vincze, Márk Oláh, Ábris Nagy
Subjects: Differential Geometry (math.DG)
[70]  arXiv:2403.09876 [pdf, other]
Title: Which shapes can appear in a Curve Shortening Flow Singularity?
Authors: Sigurd Angenent, Evan Patrick Davis, Ellie DeCleene, Paige Ellingson, Ziheng Feng, Edgar Gevorgyan, Aris Lemmenes, Alex Moon, Tyler Joseph Tommasi, Yamin Zhou
Comments: 21 pages, 14 figures
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[71]  arXiv:2403.10126 [pdf, other]
Title: $\partial\bar{\partial}$-Lemma and $p$-Kähler structures on families of solvmanifolds
Authors: Andrea Cattaneo, Adriano Tomassini
Comments: 14 pages. Comments are welcome!
Subjects: Differential Geometry (math.DG)
[72]  arXiv:2403.10155 [pdf, ps, other]
Title: Gap results for biharmonic submanifolds in spheres
Authors: Stefan Andronic, Simona Nistor
Comments: 35 pages
Subjects: Differential Geometry (math.DG)
[73]  arXiv:2403.10157 [pdf, ps, other]
Title: Complete integrability of subriemannian geodesic flows on $\mathbb{S}^7$
Authors: Wolfram Bauer, Abdellah Laaroussi, Daisuke Tarama
Subjects: Differential Geometry (math.DG)
[74]  arXiv:2403.10345 [pdf, other]
Title: Bi-Lagrangian structures and the space of rays
Authors: Wojciech Domitrz, Marcin Zubilewicz
Comments: 30 pages, 2 figures
Subjects: Differential Geometry (math.DG)
[75]  arXiv:2403.10531 [pdf, ps, other]
Title: Non-existence of certain lightlike hypersurfaces of an indefinite Sasakian manifold
Authors: Samuel Ssekajja
Comments: 18
Subjects: Differential Geometry (math.DG)
[76]  arXiv:2403.10539 [pdf, ps, other]
Title: A solution of the problem of standard compact Clifford-Klein forms
Authors: Maciej Bochenski, Aleksy Tralle
Comments: arXiv admin note: text overlap with arXiv:2212.09119
Subjects: Differential Geometry (math.DG)
[77]  arXiv:2403.10716 [pdf, ps, other]
Title: Curves and surfaces making a constant angle with a parallel transported direction in Riemannian spaces
Authors: Luiz C. B. da Silva, Gilson S. Ferreira Jr, José D. da Silva
Comments: 27 pages. Keywords: Helix, Slant helix, Surface of constant angle, Rectifying surface
Subjects: Differential Geometry (math.DG)
[78]  arXiv:2403.10739 [pdf, ps, other]
Title: Codimension two mean curvature flow of entire graphs
Authors: Andreas Savas-Halilaj, Knut Smoczyk
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[79]  arXiv:2403.10765 [pdf, ps, other]
Title: Anomaly cancellation formulas and E_8 bundles for almost complex manifolds
Authors: Siyao Liu, Yong Wang
Comments: 26 pages
Subjects: Differential Geometry (math.DG)
[80]  arXiv:2403.10816 [pdf, ps, other]
Title: λ-Biharmonic hypersurfaces in the product space L^{m}\times \mathbb{R}
Authors: Chao Yang, Zhen Zhao
Subjects: Differential Geometry (math.DG)
[81]  arXiv:2403.10876 [pdf, other]
Title: Kodaira vanishing theorems for Kahler Lie algebroids
Authors: Tengzhou Hu
Subjects: Differential Geometry (math.DG)
[82]  arXiv:2403.11161 [pdf, ps, other]
Title: Floquet-Bloch functions on non-simply connected manifolds, the Aharonov-Bohm fluxes, and conformal invariants of immersed surfaces
Authors: I.A. Taimanov
Comments: 15 pages
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Spectral Theory (math.SP)
[83]  arXiv:2403.11165 [pdf, ps, other]
Title: 4-Dimensional Isoparametric Hypersurfaces of Index 2 in the Pseudo-Riemannian Space Forms
Authors: Yuta Sasahara
Comments: 22 pages
Subjects: Differential Geometry (math.DG)
[84]  arXiv:2403.11602 [pdf, ps, other]
Title: Collapsing regular Riemannian foliations with flat leaves
Authors: Diego Corro
Comments: 23 pages
Subjects: Differential Geometry (math.DG)
[85]  arXiv:2403.11957 [pdf, ps, other]
Title: Relative aspherical conjecture and higher codimensional obstruction to positive scalar curvature
Authors: Shihang He
Comments: 23 pages. All comments are welcome!
Subjects: Differential Geometry (math.DG); Geometric Topology (math.GT)
[86]  arXiv:2403.11962 [pdf, ps, other]
Title: Extrinsically homogeneous Lagrangian submanifolds of the pseudo-nearly Kähler $\mathrm{SL}(2,\mathbb{R})\times\mathrm{SL}(2,\mathbb{R})$
Authors: Mateo Anarella
Comments: 33 pages, comments are welcome!
Subjects: Differential Geometry (math.DG)
[87]  arXiv:2403.12020 [pdf, other]
Title: A classification result for eternal mean convex flows of finite total curvature type
Authors: Alexander Mramor
Comments: Comments welcome!
Subjects: Differential Geometry (math.DG)
[88]  arXiv:2403.12479 [pdf, ps, other]
Title: Contact structures of type $G_2$ associated to solutions of Noth's equation
Authors: Matthew Randall
Comments: 19 pages
Subjects: Differential Geometry (math.DG)
[89]  arXiv:2403.12626 [pdf, other]
Title: On an integrable class of Chebyshev nets
Authors: Michal Marvan
Comments: 26 pages, 6 figures
Subjects: Differential Geometry (math.DG); Exactly Solvable and Integrable Systems (nlin.SI)
[90]  arXiv:2403.12742 [pdf, ps, other]
Title: Controllability and diffeomorphism groups on manifolds with boundary
Authors: Erlend Grong, Alexander Schmeding
Comments: 23 pages
Subjects: Differential Geometry (math.DG); Group Theory (math.GR)
[91]  arXiv:2403.13211 [pdf, other]
Title: The Riemannian Penrose Inequality with Matter Density
Authors: Hubert Bray, Yiyue Zhang
Comments: This paper was written for a special issue in memory of Robert Bartnik
Subjects: Differential Geometry (math.DG)
[92]  arXiv:2403.13424 [pdf, other]
Title: Lie groupoid Riemann-Roch-Hirzebruch theorem and applications
Authors: Tengzhou Hu
Comments: 18 pages
Subjects: Differential Geometry (math.DG)
[93]  arXiv:2403.13476 [pdf, other]
Title: Isothermic nets with spherical parameter lines from discrete holomorphic maps
Authors: Tim Hoffmann, Gudrun Szewieczek
Comments: 35 pages, 14 figures
Subjects: Differential Geometry (math.DG)
[94]  arXiv:2403.13540 [pdf, other]
Title: Solution of the Björling problem by discrete approximation
Authors: Ulrike Bücking, Daniel Matthes
Comments: 28 pages, some figures
Subjects: Differential Geometry (math.DG); Numerical Analysis (math.NA)
[95]  arXiv:2403.13764 [pdf, other]
Title: Positive sectional curvature is not preserved under the Ricci flow in dimensions seven and thirteen
Authors: David González-Álvaro, Masoumeh Zarei
Comments: Comments are welcome!
Subjects: Differential Geometry (math.DG)
[96]  arXiv:2403.13984 [pdf, ps, other]
Title: Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere
Authors: Ali Maalaoui, Vittorio Martino, Tian Xu
Comments: 22 pages
Subjects: Differential Geometry (math.DG)
[97]  arXiv:2403.13997 [pdf, ps, other]
Title: A Geometric flow towards hamiltonian stationary submanifolds
Authors: Jingyi Chen, Micah Warren
Comments: 32 pages
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[98]  arXiv:2403.13999 [pdf, other]
Title: On the Z_2-valued index of elliptic odd symmetric operators on non-compact manifolds
Authors: Maxim Braverman, Ahmad Reza Haj Saeedi Sadegh
Comments: 30 pages, 4 figures A more general form of the mod 2 version of the Boutet de Monvel's index theorem is presented. Some notations are improved
Subjects: Differential Geometry (math.DG)
[99]  arXiv:2403.14099 [pdf, ps, other]
Title: Transverse Ricci solitons on a compact foliated manifold
Authors: Seungsu Hwang, Seoung Dal Jung, Jungwoo Moon
Comments: 32 pages
Subjects: Differential Geometry (math.DG)
[100]  arXiv:2403.14199 [pdf, ps, other]
Title: A survey on Bernstein-type theorems for entire graphical surfaces
Authors: Yu Kawakami
Comments: 13 pages, survey paper, No figure
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Complex Variables (math.CV)
[101]  arXiv:2403.14257 [pdf, ps, other]
Title: Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing
Authors: Benjamin Delarue, Daniel Monclair, Andrew Sanders
Comments: 54 pages
Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS); Group Theory (math.GR); Geometric Topology (math.GT)
[102]  arXiv:2403.14319 [pdf, ps, other]
Title: Integrable geodesic flows with simultaneously diagonalisable quadratic integrals
Authors: Sergey I. Agafonov, Vladimir S. Matveev
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI)
[103]  arXiv:2403.14422 [pdf, other]
Title: Uniqueness of static vacuum asymptotically flat black holes and equipotential photon surfaces in $n+1$ dimensions à la Robinson
Authors: Carla Cederbaum, Albachiara Cogo, Benedito Leandro, João Paulo dos Santos
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc)
[104]  arXiv:2403.14579 [pdf, other]
Title: On the minimization of the Willmore energy under a constraint on total mean curvature and area
Authors: Christian Scharrer, Alexander West
Comments: 63 pages, 4 figures. Comments are welcome!
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[105]  arXiv:2403.14782 [pdf, other]
Title: On the inverse mean curvature flow by parallel hypersurfaces in space forms
Authors: Alancoc dos Santos Alencar, Keti Tenenblat
Comments: 3 figures
Subjects: Differential Geometry (math.DG)
[106]  arXiv:2403.14871 [pdf, ps, other]
Title: Homological vector fields over differentiable stacks
Authors: Daniel Álvarez, Miquel Cueca
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Symplectic Geometry (math.SG)
[107]  arXiv:2403.14923 [pdf, ps, other]
Title: Translation surfaces with large systoles
Authors: Peter Buser, Eran Makover, Bjoern Muetzel
Comments: 15 pages, 7 figures
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV); Metric Geometry (math.MG)
[108]  arXiv:2403.15166 [pdf, ps, other]
Title: Translators of the Mean Curvature Flow in Hyperbolic Einstein's Static Universe
Authors: Miguel Ortega, Buse Yalçın
Subjects: Differential Geometry (math.DG)
[109]  arXiv:2403.15184 [pdf, ps, other]
Title: Calabi-Yau threefolds with boundary
Authors: Simon Donaldson, Fabian Lehmann
Subjects: Differential Geometry (math.DG)
[110]  arXiv:2403.15515 [pdf, ps, other]
Title: On a B-field transform of generalized complex structures over complex tori
Authors: Kazushi Kobayashi
Comments: 37 pages. arXiv admin note: substantial text overlap with arXiv:2209.15160
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th)
[111]  arXiv:2403.15618 [pdf, ps, other]
Title: Special non-Kähler metrics on Endo-Pajitnov manifolds
Authors: Cristian Ciulică, Alexandra Otiman, Miron Stanciu
Comments: 16 pages
Subjects: Differential Geometry (math.DG)
[112]  arXiv:2403.15722 [pdf, other]
Title: On completeness of foliated structures, and null Killing fields
Authors: Malek Hanounah, Lilia Mehidi
Comments: 23 pages, 1 figure
Subjects: Differential Geometry (math.DG)
[113]  arXiv:2403.15888 [pdf, ps, other]
Title: The $L^p$-spectrum of the Laplacian on forms over warped products and Kleinian groups
Authors: Petros Siasos
Subjects: Differential Geometry (math.DG); Spectral Theory (math.SP)
[114]  arXiv:2403.15964 [pdf, ps, other]
Title: Optimal lower estimate for the first eigenvalue of the p-Laplacian
Authors: Matheus Nunes Soares, Fábio Reis do Santos
Comments: Suggestions are welcomed! arXiv admin note: text overlap with arXiv:2403.06081
Subjects: Differential Geometry (math.DG)
[115]  arXiv:2403.15972 [pdf, ps, other]
Title: Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature
Authors: Gioacchino Antonelli, Mattia Fogagnolo, Stefano Nardulli, Marco Pozzetta
Comments: 34 pages, 1 figure
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Metric Geometry (math.MG)
[116]  arXiv:2403.15973 [pdf, ps, other]
Title: Isoperimetric profile function comparisons with Integral Ricci curvature bounds
Authors: Jihye Lee, Fabio Ricci
Subjects: Differential Geometry (math.DG)
[117]  arXiv:2403.15978 [pdf, other]
Title: Geometric signals
Authors: Tatyana Barron
Subjects: Differential Geometry (math.DG); Information Theory (cs.IT)
[118]  arXiv:2403.16434 [pdf, other]
Title: The classification of complete improper affine spheres with singularities of low total curvature and new examples
Authors: Jun Matsumoto
Comments: 28 pages, 10 figures
Subjects: Differential Geometry (math.DG)
[119]  arXiv:2403.16515 [pdf, other]
Title: Blow Up of Compact Mean Curvature Flow Solutions with Bounded Mean Curvature
Authors: Zichang Liu
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[120]  arXiv:2403.16661 [pdf, ps, other]
Title: Dynamics of Cayley Forms
Authors: Kirill Krasnov
Comments: 25 pages, no figures
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
[121]  arXiv:2403.16710 [pdf, ps, other]
Title: A Gauss-Bonnet formula for the renormalized area of minimal submanifolds of Poincaré-Einstein manifolds
Authors: Jeffrey S. Case, C Robin Graham, Tzu-Mo Kuo, Aaron J. Tyrrell, Andrew Waldron
Comments: 47 pages
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
[122]  arXiv:2403.16814 [pdf, ps, other]
Title: Continuity of HYM connections with respect to metric variations
Authors: Rémi Delloque
Comments: 26 pages. Proposition 1 of the first draft (which was a global version of this version's Proposition 1) was wrong, as noticed by Matei Toma. The second version corrects this problem and other small mistakes. Third version is just a correction of the abstract displayed on ArXiv
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)
[123]  arXiv:2403.17150 [pdf, ps, other]
Title: A Frobenius integrability theorem for plane fields generated by quasiconformal deformations
Authors: Slobodan N. Simić
Subjects: Differential Geometry (math.DG)
[124]  arXiv:2403.17349 [pdf, ps, other]
Title: An average intersection estimate for families of diffeomorphisms
Authors: Axel Kodat, Michael Shub
Comments: 34 pages
Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS)
[125]  arXiv:2403.17415 [pdf, other]
Title: Allard-Type Regularity for Varifolds with Prescribed Contact Angle
Authors: Gaoming Wang
Comments: 60 pages, 2 figures. All comments are welcome
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[126]  arXiv:2403.17435 [pdf, ps, other]
Title: Restrictions of holomorphic sections to products
Authors: Manimugdha Saikia
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)
[127]  arXiv:2403.17461 [pdf, ps, other]
Title: Sub-Dirac operators, spectral Einstein functionals and the noncommutative residue
Authors: Jin Hong, Yuchen Yang, Yong Wang
Comments: arXiv admin note: text overlap with arXiv:2308.00833, arXiv:2312.00838
Subjects: Differential Geometry (math.DG)
[128]  arXiv:2403.17600 [pdf, other]
Title: On the exterior product of Hölder differential forms
Authors: Philippe Bouafia
Subjects: Differential Geometry (math.DG)
[129]  arXiv:2403.17666 [pdf, ps, other]
Title: Stable non-Hausdorff Riemannian foliations
Authors: Stephane Geudens
Comments: References updated
Subjects: Differential Geometry (math.DG)
[130]  arXiv:2403.18077 [pdf, ps, other]
Title: The equivalence of smooth and synthetic notions of timelike sectional curvature bounds
Authors: Tobias Beran, Michael Kunzinger, Argam Ohanyan, Felix Rott
Comments: 15 pages
Subjects: Differential Geometry (math.DG)
[131]  arXiv:2403.18596 [pdf, ps, other]
Title: Remarks on a theorem of Eells and Sampson
Authors: Giulio Colombo, Marco Mariani, Marco Rigoli
Comments: 8 pages. Comments are welcome!
Subjects: Differential Geometry (math.DG)
[132]  arXiv:2403.18634 [pdf, ps, other]
Title: A Hilbert metric for bounded symmetric domains
Authors: Elisha Falbel, Antonin Guilloux, Pierre Will
Comments: 26 pages
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV); Metric Geometry (math.MG)
[133]  arXiv:2403.18675 [pdf, ps, other]
Title: Submanifolds with boundary and Stokes' Theorem in Heisenberg groups
Authors: Marco Di Marco, Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone
Comments: 30 pages
Subjects: Differential Geometry (math.DG); Classical Analysis and ODEs (math.CA); Metric Geometry (math.MG)
[134]  arXiv:2403.18757 [pdf, ps, other]
Title: The Fubini--Study metric on an `odd' Grassmannian is rigid
Authors: Stuart James Hall
Comments: 27 pages
Subjects: Differential Geometry (math.DG)
[135]  arXiv:2403.19086 [pdf, ps, other]
Title: Type problem, the first eigenvalue and Hardy inequalities
Authors: Gilles Carron, Bo-Yong Chen, Yuanpu Xiong
Comments: 20 pages. Comments are welcome! arXiv admin note: text overlap with arXiv:2401.11803
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[136]  arXiv:2403.19138 [pdf, ps, other]
Title: Bertrand types of regular curves and Bertrand framed curves in the Euclidean 3-space
Authors: Nozomi Nakatsuyama, Masatomo Takahashi
Comments: 25 pages. arXiv admin note: text overlap with arXiv:2204.06162
Subjects: Differential Geometry (math.DG)
[137]  arXiv:2403.19169 [pdf, ps, other]
Title: Static Manifolds with Boundary and Rigidity of Scalar Curvature and Mean Curvature
Authors: Hongyi Sheng
Subjects: Differential Geometry (math.DG)
[138]  arXiv:2403.19268 [pdf, ps, other]
Title: Liouville Theorem for $k-$curvature equation with fully nonlinear boundary in half space
Authors: Wei Wei
Comments: Comments Welcome
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[139]  arXiv:2403.19281 [pdf, other]
Title: On potentials whose level sets are orbits
Authors: Philippe Bolle, Marco Mazzucchelli, Andrea Venturelli
Comments: 21 pages, 1 figure
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)
[140]  arXiv:2403.19481 [pdf, ps, other]
Title: Lp -cohomology and the geometry of p-harmonic forms
Authors: Mark A. Stern
Comments: Comments welcome
Subjects: Differential Geometry (math.DG)
[141]  arXiv:2403.19553 [pdf, ps, other]
Title: Skoda-Zeriahi type integrability and entropy compactness for some measure with $L^1$-density
Authors: Takahiro Aoi
Comments: 22 pages, no figures, comments are welcome
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
[142]  arXiv:2403.19627 [pdf, ps, other]
Title: Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature
Authors: Huai-Dong Cao, Junming Xie
Comments: 21 pages; v.2: added Remark 1.3 & Remark 6.2
Subjects: Differential Geometry (math.DG)
[143]  arXiv:2403.19815 [pdf, other]
Title: Anisotropic capillary hypersurfaces in a wedge
Authors: Hui Ma, Jiaxu Ma, Mingxuan Yang
Comments: 18 pages, 5 figures
Subjects: Differential Geometry (math.DG)
[144]  arXiv:2403.20070 [pdf, ps, other]
Title: Splitting maps in Type I Ricci flows
Authors: Panagiotis Gianniotis
Comments: 83 pages
Subjects: Differential Geometry (math.DG)
[145]  arXiv:2403.00203 (cross-list from math.GT) [pdf, ps, other]
Title: New invariants of involutions from Seiberg-Witten Floer theory
Authors: David Baraglia, Pedram Hekmati
Comments: 53 pages
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)
[146]  arXiv:2403.00380 (cross-list from math.AP) [pdf, ps, other]
Title: A sharp Sobolev trace inequality of order four on three-balls
Authors: Xuezhang Chen, Shihong Zhang
Comments: 29 pages. Comments are welcome!
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[147]  arXiv:2403.00415 (cross-list from math.AG) [pdf, ps, other]
Title: Cyclic Higgs bundles and the Toledo invariant
Authors: Oscar García-Prada, Miguel González
Comments: 31 pages
Subjects: Algebraic Geometry (math.AG); Differential Geometry (math.DG)
[148]  arXiv:2403.00575 (cross-list from math.OA) [pdf, ps, other]
Title: Equivariant Spectral Flow for Families of Dirac-type Operators
Authors: Peter Hochs, Aquerman Yanes
Comments: 53 pages; v2.: typos corrected, references added, simplified arguments in section 4, results unchanged
Subjects: Operator Algebras (math.OA); Differential Geometry (math.DG); K-Theory and Homology (math.KT)
[149]  arXiv:2403.00651 (cross-list from math.AP) [pdf, ps, other]
Title: Regularities for solutions to the $L_p$ dual Minkowski problem for unbounded closed sets
Authors: Li Chen, Qiang Tu
Comments: 39 pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[150]  arXiv:2403.00928 (cross-list from math.NT) [pdf, other]
Title: The limit points of the bass notes of arithmetic hyperbolic surfaces
Authors: Michael Magee
Comments: 32 pages, 2 Figures, presentation polished in current version
Subjects: Number Theory (math.NT); Analysis of PDEs (math.AP); Differential Geometry (math.DG); Probability (math.PR); Spectral Theory (math.SP)
[151]  arXiv:2403.01041 (cross-list from math.DS) [pdf, other]
Title: Finitary estimates for the distribution of lattice orbits in homogeneous spaces I: Riemannian metric
Authors: Zuo Lin, Pratyush Sarkar
Comments: 72 pages, 3 figures
Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)
[152]  arXiv:2403.01151 (cross-list from math.CO) [pdf, ps, other]
Title: A Ricci flow on graphs from effective resistance
Authors: Aleyah Dawkins, Vishal Gupta, Mark Kempton, William Linz, Jeremy Quail, Harry Richman, Zachary Stier
Comments: 14 pages, 8 figures, comments welcome!
Subjects: Combinatorics (math.CO); Differential Geometry (math.DG)
[153]  arXiv:2403.01200 (cross-list from math.AG) [pdf, ps, other]
Title: Embedding Theorems for Calabi--Yau Conifolds
Authors: Yohsuke Imagi
Comments: 21 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)
[154]  arXiv:2403.01620 (cross-list from math.AP) [pdf, ps, other]
Title: Regularity of the solution to a real Monge--Ampère equation on the boundary of a simplex
Authors: Rolf Andreasson, Jakob Hultgren, Mattias Jonsson, Enrica Mazzon, Nicholas McCleerey
Comments: 13 pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[155]  arXiv:2403.01825 (cross-list from math.SG) [pdf, ps, other]
Title: Hamiltonian $S^1$-manifolds which are like a coadjoint orbit of $G_2$
Authors: Hui Li
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)
[156]  arXiv:2403.02228 (cross-list from math.SG) [pdf, ps, other]
Title: Sharp systolic inequalities for invariant tight contact forms on principal S1-bundles over S2
Authors: Simon Vialaret
Comments: 22 pages; v2: corrected a mistake in the proof of the main theorem, new section 4.2 on a sharp bound on the systolic ratio for contractible Reeb orbits
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG); Dynamical Systems (math.DS)
[157]  arXiv:2403.02925 (cross-list from math.MG) [pdf, ps, other]
Title: Weighted floating functions and weighted functional affine surface areas
Authors: Carsten Schütt, Christoph Thaele, Nicola Turchi, Elisabeth M. Werner
Comments: arXiv admin note: text overlap with arXiv:1711.11088
Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG); Functional Analysis (math.FA)
[158]  arXiv:2403.03178 (cross-list from math.SG) [pdf, ps, other]
Title: Reduction of Cosymplectic Groupoids
Authors: Daniel López Garcia, Nicolas Martinez Alba
Comments: 9 pages
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)
[159]  arXiv:2403.03759 (cross-list from math.DS) [pdf, other]
Title: Homoclinic classes of geodesic flows on rank 1 manifolds
Authors: Yuri Lima, Mauricio Poletti
Comments: 10 pages
Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)
[160]  arXiv:2403.05035 (cross-list from math.AG) [pdf, ps, other]
Title: Fibrations on the 6-sphere
Authors: Nobuhiro Honda, Jeff Viaclovsky
Comments: 37 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)
[161]  arXiv:2403.06105 (cross-list from math.SP) [pdf, other]
Title: Connection Laplacian on discrete tori with converging property
Authors: Yong Lin, Shi Wan, Haohang Zhang
Subjects: Spectral Theory (math.SP); Combinatorics (math.CO); Differential Geometry (math.DG)
[162]  arXiv:2403.06110 (cross-list from math.AP) [pdf, ps, other]
Title: The Neumann problem of special Lagrangian type equations
Authors: Guohuan Qiu, Dekai Zhang
Comments: 24 pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[163]  arXiv:2403.06209 (cross-list from math.GT) [pdf, ps, other]
Title: Homogeneous quandles with abelian inner automorphism groups and vertex-transitive graphs
Authors: Konomi Furuki, Hiroshi Tamaru
Comments: 19 pages, 1 figure
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)
[164]  arXiv:2403.07235 (cross-list from math.AP) [pdf, ps, other]
Title: Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian Mean Curvature Flow
Authors: Arunima Bhattacharya, Jeremy Wall
Comments: 28 pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[165]  arXiv:2403.07590 (cross-list from math.QA) [pdf, other]
Title: Topological Quantum Mechanics on Orbifolds and Orbifold Index
Authors: Si Li, Peng Yang
Comments: 29 pages. Comments are welcome. arXiv admin note: text overlap with arXiv:1911.11173
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Differential Geometry (math.DG)
[166]  arXiv:2403.08070 (cross-list from math.AP) [pdf, ps, other]
Title: On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian
Authors: Ruifeng Chen, Jing Mao
Comments: 19 pages. Comments are welcome. Several typos have been corrected to v1. A new reference has been added
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[167]  arXiv:2403.08075 (cross-list from math.AP) [pdf, ps, other]
Title: Several isoperimetric inequalities of Dirichlet and Neumann eigenvalues of the Witten-Laplacian
Authors: Ruifeng Chen, Jing Mao
Comments: 31 pages. Comments are welcome. Several typos have been corrected to v1
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[168]  arXiv:2403.08146 (cross-list from math.AP) [pdf, ps, other]
Title: Nodal solutions to Paneitz-type equations
Authors: Jurgen Julio-Batalla, Jimmy Petean
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[169]  arXiv:2403.08990 (cross-list from math.AP) [pdf, ps, other]
Title: Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds
Authors: Duván Cardona, Vishvesh Kumar, Michael Ruzhansky
Comments: 101 Pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[170]  arXiv:2403.09902 (cross-list from math.AP) [pdf, other]
Title: Minimizing movements for forced anisotropic curvature flow of droplets
Authors: Shokhrukh Yu. Kholmatov
Comments: 35 pages, 2 figures
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[171]  arXiv:2403.10090 (cross-list from math.GT) [pdf, other]
Title: Convex co-compact hyperbolic manifolds are determined by their pleating lamination
Authors: Bruno Dular, Jean-Marc Schlenker
Comments: 13 pages, 1 figure. v2: argument expanded to include manifolds with compressible boundary. Added some references and explanations
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)
[172]  arXiv:2403.11302 (cross-list from math.DS) [pdf, other]
Title: Koopman Regularization
Authors: Ido Cohen
Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)
[173]  arXiv:2403.11730 (cross-list from math.NA) [pdf, other]
Title: An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics
Authors: Simon Mataigne, Ralf Zimmermann, Nina Miolane
Comments: 20 pages, 6 figures, 3 tables
Subjects: Numerical Analysis (math.NA); Differential Geometry (math.DG)
[174]  arXiv:2403.12292 (cross-list from math.AP) [pdf, ps, other]
Title: Long time regularity of the $p$-Gauss curvature flow with flat side
Authors: G. Huang, X.-J. Wang, Y. Zhou
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[175]  arXiv:2403.12304 (cross-list from math.SG) [pdf, ps, other]
Title: Conformally symplectic structures and the Lefschetz condition
Authors: Mehdi Lejmi, Scott O. Wilson
Comments: 6 pages
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)
[176]  arXiv:2403.12314 (cross-list from math.AT) [pdf, ps, other]
Title: Homotopy BV-algebras in Hermitian geometry
Authors: Joana Cirici, Scott O. Wilson
Comments: 18 pages
Subjects: Algebraic Topology (math.AT); Differential Geometry (math.DG); Quantum Algebra (math.QA)
[177]  arXiv:2403.12472 (cross-list from math.SP) [pdf, ps, other]
Title: Determinants of pseudo-laplacians and $ζ^{({\rm reg})}(1)$ for spinor bundles over Riemann surfaces
Authors: Alexey Kokotov, Dmitrii Korikov
Comments: 15 pages, 0 figures
Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG)
[178]  arXiv:2403.12903 (cross-list from math.SG) [pdf, ps, other]
Title: Geodesic vector fields, induced contact structures and tightness in dimension three
Authors: Tilman Becker
Comments: 20 pages
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)
[179]  arXiv:2403.13620 (cross-list from math.SP) [pdf, ps, other]
Title: Upper bound for Steklov eigenvalues of warped products with fiber of dimension 2
Authors: Jade Brisson, Bruno Colbois
Comments: 10 pages
Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG)
[180]  arXiv:2403.13668 (cross-list from math.GT) [pdf, ps, other]
Title: Topological and geometric restrictions on hyperconvex representations
Authors: James Farre, Beatrice Pozzetti, Gabriele Viaggi
Comments: 22 pages. Comments are welcome!
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG); Group Theory (math.GR)
[181]  arXiv:2403.13735 (cross-list from math.QA) [pdf, other]
Title: Existence and uniqueness of the Levi-Civita connection on noncommutative differential forms
Authors: Bram Mesland, Adam Rennie
Comments: 52 pages
Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Differential Geometry (math.DG); Operator Algebras (math.OA)
[182]  arXiv:2403.14005 (cross-list from math.RA) [pdf, ps, other]
Title: Algebraic structures on parallelizable manifolds
Authors: Sergey Grigorian
Comments: 32 pages
Subjects: Rings and Algebras (math.RA); Differential Geometry (math.DG)
[183]  arXiv:2403.14157 (cross-list from math.AP) [pdf, ps, other]
Title: Semiclassical asymptotics for Bergman projections with Gevrey weights
Authors: Haoren Xiong, Hang Xu
Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Differential Geometry (math.DG)
[184]  arXiv:2403.15188 (cross-list from math.OC) [pdf, other]
Title: Pursuit-Evasion on a Sphere and When It Can Be Considered Flat
Authors: Dejan Milutinovic, Alexander Von Moll, Satyanarayana G. Manyam, David W. Casbeer, Isaac E. Weintraub, Meir Pachter
Comments: 8 Pages, 5 figures, To be submitted to 2024 Conference on Decision and Control in Milan, Italy
Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Algebraic Geometry (math.AG); Differential Geometry (math.DG)
[185]  arXiv:2403.15460 (cross-list from math-ph) [pdf, other]
Title: The classification of general affine connections in Newton--Cartan geometry: Towards metric-affine Newton--Cartan gravity
Authors: Philip K. Schwartz
Comments: 17+2+2 pages (main text, references, appendix), comments welcome! v2: added references, corrected typos
Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)
[186]  arXiv:2403.15564 (cross-list from math-ph) [pdf, ps, other]
Title: Metric-affine cosmological models and the inverse problem of the calculus of variations. Part 1: variational bootstrapping -- the method
Authors: Ludovic Ducobu, Nicoleta Voicu
Comments: 16 pages + 1 page references & acknowledgments + 5 pages appendix, 0 figure
Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)
[187]  arXiv:2403.15767 (cross-list from math.SG) [pdf, other]
Title: The sharp $C^0$-fragmentation property for Hamiltonian diffeomorphisms and homeomorphisms on surfaces
Authors: Baptiste Serraille
Comments: 19 pages, 3 figures, comments welcome
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)
[188]  arXiv:2403.15889 (cross-list from math.AP) [pdf, ps, other]
Title: Higher codimension area-minimizing currents mod$(q)$: structure of singularities near $(m-1)$-invariant cones
Authors: Camillo De Lellis, Paul Minter, Anna Skorobogatova
Comments: 55 pages, comments welcome!
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[189]  arXiv:2403.15915 (cross-list from math.OC) [pdf, other]
Title: Michell Truss and From 1-beam to k-beam
Authors: Chengcheng Yang
Subjects: Optimization and Control (math.OC); Differential Geometry (math.DG)
[190]  arXiv:2403.16641 (cross-list from math.AP) [pdf, ps, other]
Title: Linearly stable self-similar solutions of semilinear heat equations
Authors: Kyeongsu Choi, Jiuzhou Huang
Comments: All comments are welcome
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[191]  arXiv:2403.16783 (cross-list from math.AP) [pdf, ps, other]
Title: Concavity for elliptic and parabolic equations in complex projective space
Authors: Shrey Aryan, Michael B. Law
Comments: 15 pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[192]  arXiv:2403.16785 (cross-list from math.NA) [pdf, other]
Title: Approximating maps into manifolds with lower curvature bounds
Authors: Simon Jacobsson, Raf Vandebril, Joeri van der Veken, Nick Vannieuwenhoven
Subjects: Numerical Analysis (math.NA); Differential Geometry (math.DG)
[193]  arXiv:2403.17262 (cross-list from math.AG) [pdf, ps, other]
Title: Tian's stabilization problem for toric Fanos
Authors: Chenzi Jin, Yanir A. Rubinstein
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)
[194]  arXiv:2403.17906 (cross-list from math-ph) [pdf, other]
Title: WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities
Authors: Anton Alekseev, Andrew Neitzke, Xiaomeng Xu, Yan Zhou
Subjects: Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Differential Geometry (math.DG); Quantum Algebra (math.QA)
[195]  arXiv:2403.18654 (cross-list from math.CV) [pdf, ps, other]
Title: A Dimca-Greuel type inequality for foliations
Authors: Arturo Fernández-Pérez, Evelia R. García Barroso, Nancy Saravia-Molina
Comments: 10 pages
Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)
[196]  arXiv:2403.19619 (cross-list from math.AP) [pdf, ps, other]
Title: Existence of a global fundamental solution for Hörmander operators
Authors: Mattia Galeotti
Comments: 21 pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[197]  arXiv:2403.20139 (cross-list from math-ph) [pdf, other]
Title: Designing Poisson Integrators Through Machine Learning
Authors: Miguel Vaquero, David Martín de Diego, Jorge Cortés
Comments: 5 pages, 5 figures
Subjects: Mathematical Physics (math-ph); Machine Learning (cs.LG); Differential Geometry (math.DG); Dynamical Systems (math.DS); Numerical Analysis (math.NA)
[198]  arXiv:2403.20243 (cross-list from math.PR) [pdf, other]
Title: Nodal Volumes as Differentiable Functionals of Gaussian fields
Authors: Giovanni Peccati, Michele Stecconi
Comments: 60 pages, 5 figures
Subjects: Probability (math.PR); Differential Geometry (math.DG)
[199]  arXiv:2403.20244 (cross-list from math.AP) [pdf, ps, other]
Title: Minimizing movements for the generalized power mean curvature flow
Authors: Giovanni Bellettini, Shokhrukh Yu. Kholmatov
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[200]  arXiv:2403.01881 (cross-list from gr-qc) [pdf, ps, other]
Title: The positive energy theorem for weighted asymptotically anti-de Sitter spacetimes
Authors: Yaohua Wang, Xiao Zhang
Comments: 19 pages, to appear in Science China Mathematics
Subjects: General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)
[201]  arXiv:2403.03119 (cross-list from hep-th) [pdf, other]
Title: Higher form symmetries and orbifolds of two-dimensional Yang-Mills theory
Authors: Leonardo Santilli, Richard J. Szabo
Comments: 55 pages, 3 figures, 1 table; v2: minor changes and additions, references added
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Differential Geometry (math.DG); Quantum Algebra (math.QA)
[202]  arXiv:2403.04995 (cross-list from cond-mat.soft) [pdf, other]
Title: A universal phase-field mixture representation of thermodynamics and shock wave mechanics in porous soft biologic continua
Authors: John D. Clayton
Comments: 29 pages, 6 figures
Subjects: Soft Condensed Matter (cond-mat.soft); Mathematical Physics (math-ph); Differential Geometry (math.DG)
[203]  arXiv:2403.07782 (cross-list from gr-qc) [pdf, ps, other]
Title: Minimal Elements of the Causal Boundary with Applications to Spacetime Splitting
Authors: Leonardo García-Heveling
Comments: 13 pages, 2 figures. Changes in v2: Added a new result (thm. 1.6), mild restructuring of the previous content
Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Differential Geometry (math.DG)
[204]  arXiv:2403.08467 (cross-list from gr-qc) [pdf, ps, other]
Title: Uniqueness of extremal charged black holes in de Sitter
Authors: David Katona
Comments: 18 pages, 2 figures
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)
[205]  arXiv:2403.09278 (cross-list from cond-mat.soft) [pdf, other]
Title: Nonlinear Kinematics of Recursive Origami Inspired by the Spidron
Authors: Rinki Imada, Thomas C. Hull, Jason S. Ku, Tomohiro Tachi
Comments: 16 pages, 8 figures. To Appear in Origami8: Proceedings of the 8th International Meeting on Origami in Science, Mathematics and Education (8OSME), Melbourne, August 16-18, 2024
Subjects: Soft Condensed Matter (cond-mat.soft); Differential Geometry (math.DG); Metric Geometry (math.MG); Chaotic Dynamics (nlin.CD)
[206]  arXiv:2403.11133 (cross-list from gr-qc) [pdf, other]
Title: Angular Momentum Memory Effect
Authors: Xinliang An, Taoran He, Dawei Shen
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[207]  arXiv:2403.12228 (cross-list from gr-qc) [pdf, ps, other]
Title: Embedded Hypersurface Data and Ambient Vector Fields: Abstract Killing Horizons of order zero/one
Authors: Miguel Manzano, Marc Mars
Comments: 28 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)
[208]  arXiv:2403.12334 (cross-list from cs.CG) [pdf, other]
Title: Structural Validation Of Synthetic Power Distribution Networks Using The Multiscale Flat Norm
Authors: Kostiantyn Lyman, Rounak Meyur, Bala Krishnamoorthy, Mahantesh Halappanavar
Comments: A shorter version (with subset of results) appeared in ICCS 2023
Subjects: Computational Geometry (cs.CG); Algebraic Topology (math.AT); Differential Geometry (math.DG)
[209]  arXiv:2403.12842 (cross-list from cs.RO) [pdf, ps, other]
Title: The Interplay Between Symmetries and Impact Effects on Hybrid Mechanical Systems
Authors: William Clark, Leonardo Colombo, Anthony Bloch
Comments: 6 pages. To be presented at a conference. Comments welcome
Subjects: Robotics (cs.RO); Differential Geometry (math.DG)
[210]  arXiv:2403.14897 (cross-list from cs.CV) [pdf, other]
Title: Geometric Generative Models based on Morphological Equivariant PDEs and GANs
Authors: El Hadji S. Diop, Thierno Fall, Alioune Mbengue, Mohamed Daoudi
Subjects: Computer Vision and Pattern Recognition (cs.CV); Image and Video Processing (eess.IV); Differential Geometry (math.DG)
[211]  arXiv:2403.15984 (cross-list from gr-qc) [pdf, ps, other]
Title: Initial data sets with vanishing mass are contained in pp-wave spacetimes
Authors: Sven Hirsch, Yiyue Zhang
Subjects: General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[212]  arXiv:2403.16456 (cross-list from hep-th) [pdf, other]
Title: Flux Quantization on 11-dimensional Superspace
Authors: Grigorios Giotopoulos, Hisham Sati, Urs Schreiber
Comments: 58 pages v2: fixed lemma 2.48, added lemma 3.6
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Algebraic Topology (math.AT); Differential Geometry (math.DG)
[213]  arXiv:2403.17692 (cross-list from cs.CV) [pdf, other]
Title: Manifold-Guided Lyapunov Control with Diffusion Models
Authors: Amartya Mukherjee, Thanin Quartz, Jun Liu
Comments: 14 pages
Subjects: Computer Vision and Pattern Recognition (cs.CV); Machine Learning (cs.LG); Differential Geometry (math.DG); Optimization and Control (math.OC); Computation (stat.CO)
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