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Differential Geometry

Authors and titles for recent submissions

[ total of 53 entries: 1-53 ]
[ showing up to 58 entries per page: fewer | more ]

Tue, 14 May 2024

[1]  arXiv:2405.07692 [pdf, ps, other]
Title: Holography of Higher Codimension Submanifolds: Riemannian and Conformal
Authors: Samuel Blitz, Josef Šilhan
Comments: 34 pages
Subjects: Differential Geometry (math.DG)
[2]  arXiv:2405.07598 [pdf, other]
Title: Filling Riemann surfaces by hyperbolic Schottky manifolds of negative volume
Authors: Tommaso Cremaschi, Viola Giovannini, Jean-Marc Schlenker
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Geometric Topology (math.GT)
[3]  arXiv:2405.07563 [pdf, ps, other]
Title: The holonomy of spherically symmetric projective Finsler metrics of constant curvature
Authors: Asma Mezrag, Zoltan Muzsnay
Comments: to appear in The Journal of Geometric Analysis
Subjects: Differential Geometry (math.DG)
[4]  arXiv:2405.07390 [pdf, ps, other]
Title: Finite Diffeomorphism Theorem for manifolds with lower Ricci curvature and bounded energy
Authors: Wenshuai Jiang, Guofang Wei
Comments: 18 pages
Subjects: Differential Geometry (math.DG)
[5]  arXiv:2405.07053 [pdf, ps, other]
Title: Introduction to Lorentzian and Flat Affine Geometry of $\mathsf{GL}(2,\mathbb{R})$
Authors: Alberto Medina, Andres Villabon
Subjects: Differential Geometry (math.DG)
[6]  arXiv:2405.06998 [pdf, ps, other]
Title: Hessianizability of surface metrics
Authors: Robert L. Bryant
Comments: 10 pages
Subjects: Differential Geometry (math.DG)
[7]  arXiv:2405.06955 [pdf, ps, other]
Title: Parametrized Hamiltonian Stationary Legendrian Varifolds into the Heisenberg Group ${\mathbb H}^2$ -- The Sequential Weak Closure
Authors: Alessandro Pigati, Tristan Rivière
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[8]  arXiv:2405.06934 [pdf, other]
Title: A Constrained Mean Curvature Flow On Capillary Hypersurface Supported On Totally Geodesic Plane
Authors: Xiaoxiang Chai, Yimin Chen
Comments: All comments are welcome
Subjects: Differential Geometry (math.DG)
[9]  arXiv:2405.06913 [pdf, ps, other]
Title: Tachibana operator Applied to Invariant submanifolds of Lorentzian trans-Sasakian manifolds
Authors: Mehmet Atçeken, Tuğba Mert
Subjects: Differential Geometry (math.DG)
[10]  arXiv:2405.06897 [pdf, ps, other]
Title: SL(n) Contravariant Matrix-Valued Valuations on Polytopes
Authors: Chunna Zeng, Yuqi Zhou
Subjects: Differential Geometry (math.DG)
[11]  arXiv:2405.06867 [pdf, other]
Title: Rigidity and nonexistence of CMC hypersurfaces in 5-manifolds
Authors: Han Hong, Zetian Yan
Comments: 25 pages. Comments are welcome
Subjects: Differential Geometry (math.DG)
[12]  arXiv:2405.07939 (cross-list from math.AG) [pdf, ps, other]
Title: Compact moduli of Calabi-Yau cones and Sasaki-Einstein spaces
Authors: Yuji Odaka
Comments: 56 pages
Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th); Commutative Algebra (math.AC); Differential Geometry (math.DG)
[13]  arXiv:2405.07852 (cross-list from math.ST) [pdf, other]
Title: Riemannian radial distributions on Riemannian symmetric spaces: Optimal rates of convergence for parameter estimation
Authors: Hengchao Chen
Subjects: Statistics Theory (math.ST); Differential Geometry (math.DG)
[14]  arXiv:2405.07539 (cross-list from cond-mat.soft) [pdf, other]
Title: Intrinsic Langevin dynamics of rigid inclusions on curved surfaces
Authors: Balázs Németh, Ronojoy Adhikari
Comments: 17 pages, 2 figures
Subjects: Soft Condensed Matter (cond-mat.soft); Statistical Mechanics (cond-mat.stat-mech); Differential Geometry (math.DG); Probability (math.PR)
[15]  arXiv:2405.07322 (cross-list from math.AG) [pdf, ps, other]
Title: A Gromov-Witten approach to $G$-equivariant birational invariants
Authors: Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov
Comments: 19 pages. Comments are very welcome
Subjects: Algebraic Geometry (math.AG); Mathematical Physics (math-ph); Differential Geometry (math.DG); Symplectic Geometry (math.SG)
[16]  arXiv:2405.06788 (cross-list from math.FA) [pdf, ps, other]
Title: An asymmetric Myers-Nakai theorem for non-reversible Finsler manifolds
Authors: Francisco Venegas M
Comments: arXiv admin note: text overlap with arXiv:2002.02647 by other authors
Subjects: Functional Analysis (math.FA); Differential Geometry (math.DG)

Mon, 13 May 2024

[17]  arXiv:2405.06533 [pdf, ps, other]
Title: Existence and uniqueness of $t$-graphs of prescribed mean curvature in Heisenberg groups
Authors: Julián Pozuelo, Simone Verzellesi
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[18]  arXiv:2405.06530 [pdf, ps, other]
Title: The Morse property of limit functions appearing in mean field equations on surfaces with boundary
Authors: Zhengni Hu, Thomas Bartsch
Comments: 19 pages
Journal-ref: The Journal of Geometric Analysis (2024) 34:220
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[19]  arXiv:2405.06190 [pdf, other]
Title: Geometric Approaches to Matrix Normalization and Graph Balancing
Authors: Tom Needham, Clayton Shonkwiler
Subjects: Differential Geometry (math.DG); Optimization and Control (math.OC)
[20]  arXiv:2405.06137 (cross-list from math.RT) [pdf, ps, other]
Title: Asymptotics of unitary matrix elements in canonical bases
Authors: Louis Ioos
Comments: 43 pages
Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Differential Geometry (math.DG); Symplectic Geometry (math.SG)

Fri, 10 May 2024

[21]  arXiv:2405.05896 [pdf, ps, other]
Title: A note on the volume entropy on harmonic manifolds of hypergeometric type
Authors: Hiroyasu Satoh
Comments: 15 pages
Subjects: Differential Geometry (math.DG)
[22]  arXiv:2405.05775 [pdf, other]
Title: On the dimension of the singular set of perimeter minimizers in spaces with a two-sided Ricci curvature bound
Authors: Alessandro Cucinotta, Francesco Fiorani
Subjects: Differential Geometry (math.DG)
[23]  arXiv:2405.05681 [pdf, ps, other]
Title: About generalized complex structures on $\mathbb S^6$
Authors: Fernando Etayo, Pablo Gómez-Nicolás, Rafael Santamaría
Subjects: Differential Geometry (math.DG)
[24]  arXiv:2405.05604 [pdf, ps, other]
Title: Modified extremal Kähler metrics and multiplier Hermitian-Einstein metrics
Authors: Yasuhiro Nakagawa, Satoshi Nakamura
Comments: 25 pages, fixed a mistake in the abstract, added some sentences in the article
Subjects: Differential Geometry (math.DG)
[25]  arXiv:2405.05517 [pdf, ps, other]
Title: The rigidity of eigenfunctions' gradient estimates
Authors: Guoyi Xu, Xiaolong Xue
Comments: submitted
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Spectral Theory (math.SP)
[26]  arXiv:2405.05492 [pdf, other]
Title: A logifold structure on measure space
Authors: Inkee Jung, Siu-Cheong Lau
Comments: 43 pages, 4 figures
Subjects: Differential Geometry (math.DG); Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Probability (math.PR)
[27]  arXiv:2405.05833 (cross-list from math.AG) [pdf, ps, other]
Title: K-stable valuations and Calabi-Yau metrics on affine spherical varieties
Authors: Tran-Trung Nghiem
Comments: 33 pages. Comments welcome !
Subjects: Algebraic Geometry (math.AG); Differential Geometry (math.DG)
[28]  arXiv:2405.05377 (cross-list from gr-qc) [pdf, ps, other]
Title: Transverse expansion of the metric at null hypersurfaces I. Uniqueness and application to Killing horizons
Authors: Marc Mars, Gabriel Sánchez-Pérez
Comments: 42 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

Thu, 9 May 2024

[29]  arXiv:2405.05174 [pdf, ps, other]
Title: The local cohomology of vector fields
Authors: Brian R Williams
Comments: 30 pages, comments are very welcome!
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG)
[30]  arXiv:2405.05003 [pdf, ps, other]
Title: Nilpotent structures of oriented neutral vector bundles
Authors: Naoya Ando
Subjects: Differential Geometry (math.DG)
[31]  arXiv:2405.04882 [pdf, ps, other]
Title: Starshaped compact hypersurfaces in warped product manifolds II: a class of Hessian type equations
Authors: Bin Wang
Comments: 28 pages. Comments are welcome!
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[32]  arXiv:2405.04864 [pdf, other]
Title: Information Geometric Framework For Point Cloud Data
Authors: Amit Vishwakarma, KS Subrahamanian Moosath
Subjects: Differential Geometry (math.DG)
[33]  arXiv:2405.04827 [pdf, ps, other]
Title: The Geometry of Three-Forms on Symplectic Six-Manifolds
Authors: Teng Fei
Comments: 34 pages, all comments are welcome!
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Complex Variables (math.CV); Symplectic Geometry (math.SG)
[34]  arXiv:2405.04822 [pdf, ps, other]
Title: Extrinsic Bonnet-Myers Theorem and almost rigidity
Authors: Weiying Li, Guoyi Xu
Comments: submitted
Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)
[35]  arXiv:2405.04948 (cross-list from math.CV) [pdf, ps, other]
Title: Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
Authors: Per Åhag, Rafał Czyż, Chinh H. Lu, Alexander Rashkovskii
Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[36]  arXiv:2405.04851 (cross-list from math.GT) [pdf, other]
Title: Uniform degeneration of hyperbolic surfaces with boundary along harmonic map rays
Authors: Kento Sakai
Comments: 27 pages, 9 figures
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)

Wed, 8 May 2024

[37]  arXiv:2405.04492 [pdf, other]
Title: Geometric Structures for the $G_2'$-Hitchin Component
Authors: Parker Evans
Comments: Comments welcome!
Subjects: Differential Geometry (math.DG); Geometric Topology (math.GT)
[38]  arXiv:2405.04444 [pdf, ps, other]
Title: Immortal solutions of the Kähler-Ricci flow
Authors: Valentino Tosatti
Comments: 18 pages; submitted to the AMS Contemporary Mathematics volume in memory of Steve Zelditch
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
[39]  arXiv:2405.04301 [pdf, ps, other]
Title: Classification of solutions to the isotropic horospherical $p$-Minkowski problem in hyperbolic plane
Authors: Haizhong Li, Yao Wan
Comments: 19 pages, 2 figures. All comments are welcome
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Metric Geometry (math.MG)
[40]  arXiv:2405.04255 [pdf, other]
Title: Ruled Ricci surfaces and curves of constant torsion
Authors: Alcides de Carvalho, Iury Domingos, Roney Santos
Comments: 12 pages and 11 figures. All comments are welcome
Subjects: Differential Geometry (math.DG)
[41]  arXiv:2405.04227 [pdf, ps, other]
Title: The Penrose Inequality for Metrics with Singular Sets
Authors: Huaiyu Zhang
Subjects: Differential Geometry (math.DG)
[42]  arXiv:2405.04208 [pdf, ps, other]
Title: Collapsing immortal Kähler-Ricci flows
Authors: Hans-Joachim Hein, Man-Chun Lee, Valentino Tosatti
Comments: 89 pages
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[43]  arXiv:2405.04162 [pdf, ps, other]
Title: Vaisman's theorem and local reducibility
Authors: Ovidiu Preda, Miron Stanciu
Comments: 8 pages
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
[44]  arXiv:2405.04001 [pdf, ps, other]
Title: Volume growth and positive scalar curvature
Authors: Guodong Wei, Guoyi Xu, Shuai Zhang
Comments: submitted to some journal
Subjects: Differential Geometry (math.DG)
[45]  arXiv:2405.03993 [pdf, other]
Title: Capillary Surfaces in Manifolds with Nonnegative Scalar Curvature and Strictly Mean Convex Boundary
Authors: Yujie Wu
Comments: 19 pages, 1 figure, comments welcome!
Subjects: Differential Geometry (math.DG)
[46]  arXiv:2405.03921 [pdf, ps, other]
Title: Classification of two and three dimensional complete gradient Yamabe solitons
Authors: Shun Maeta
Comments: 11 pages
Subjects: Differential Geometry (math.DG)
[47]  arXiv:2405.03895 [pdf, ps, other]
Title: Quasi-positive curvature and vanishing theorems
Authors: Kai Tang
Comments: 10 pages
Subjects: Differential Geometry (math.DG)
[48]  arXiv:2405.03839 [pdf, ps, other]
Title: Topological regularity and stability of noncollapsed spaces with Ricci curvature bounded below
Authors: Elia Bruè, Alessandro Pigati, Daniele Semola
Subjects: Differential Geometry (math.DG)
[49]  arXiv:2405.03756 [pdf, ps, other]
Title: Differential spinors and Kundt three-manifolds with skew-torsion
Authors: C. S. Shahbazi
Comments: 29 pages
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
[50]  arXiv:2405.04384 (cross-list from math.CV) [pdf, ps, other]
Title: Geodesic connectivity and rooftop envelopes in the Cegrell classes
Authors: Per Åhag, Rafał Czyż, Chinh H. Lu, Alexander Rashkovskii
Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[51]  arXiv:2405.04348 (cross-list from math.AP) [pdf, other]
Title: Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space
Authors: Guowei Dai, Pieralberto Sicbaldi, Yong Zhang
Comments: 26 pages
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[52]  arXiv:2405.04002 (cross-list from math.AG) [pdf, ps, other]
Title: Quadratic varieties of small codimension
Authors: Kiwamu Watanabe
Comments: 14 pages
Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)
[53]  arXiv:2405.03982 (cross-list from math.AP) [pdf, ps, other]
Title: Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds
Authors: Kazuhiro Ishige, Asuka Takatsu, Haruto Tokunaga
Comments: 18 pages. Comments welcome!
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[ total of 53 entries: 1-53 ]
[ showing up to 58 entries per page: fewer | more ]

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