We gratefully acknowledge support from
the Simons Foundation and member institutions.

Differential Geometry

Authors and titles for recent submissions, skipping first 58

[ total of 50 entries: 1-50 ]
[ showing 50 entries per page: fewer | more ]

Fri, 7 Jun 2024

[1]  arXiv:2406.04283 [pdf, ps, other]
Title: Systolic inequalities and the Horowitz-Myers conjecture
Authors: S. Brendle, P.K. Hung
Subjects: Differential Geometry (math.DG)
[2]  arXiv:2406.03988 [pdf, ps, other]
Title: On the Scalar Curvature Compactness Conjecture in the Conformal Case
Authors: Brian Allen, Wenchuan Tian, Changliang Wang
Comments: 30 pages, comments welcome
Subjects: Differential Geometry (math.DG)
[3]  arXiv:2406.03828 [pdf, ps, other]
Title: The Gödel Universe as a Lie group with left-invariant Lorentz metric and\newline the Iwasawa decomposition
Authors: V. N. Berestovskii
Comments: 10 pages
Subjects: Differential Geometry (math.DG)
[4]  arXiv:2406.03717 [pdf, other]
Title: Weighted Voronoi-Delaunay dual on polyhedral surfaces and its finiteness
Authors: Xiang Zhu
Subjects: Differential Geometry (math.DG)
[5]  arXiv:2406.03639 [pdf, ps, other]
Title: Gravitating vortices and Symplectic Reduction by Stages
Authors: L. Álvarez-Cónsul, M. Garcia-Fernandez, O. García-Prada, V. P. Pingali, C.-J. Yao
Comments: 48 pages, no figures, comments are welcome
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Symplectic Geometry (math.SG)
[6]  arXiv:2406.04293 (cross-list from math.GT) [pdf, other]
Title: On the Legendrian realisation of parametric families of knots
Authors: Javier Martínez-Aguinaga
Comments: 27 pages, 5 figures
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG); Symplectic Geometry (math.SG)
[7]  arXiv:2406.04243 (cross-list from math.OC) [pdf, other]
Title: Policy Optimization in Control: Geometry and Algorithmic Implications
Authors: Shahriar Talebi, Yang Zheng, Spencer Kraisler, Na Li, Mehran Mesbahi
Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Differential Geometry (math.DG)
[8]  arXiv:2406.04224 (cross-list from math.AG) [pdf, ps, other]
Title: Rank-2 wobbly bundles from special divisors on spectral curves
Authors: Duong Dinh
Comments: 7 pages
Subjects: Algebraic Geometry (math.AG); Differential Geometry (math.DG)
[9]  arXiv:2406.04171 (cross-list from math-ph) [pdf, other]
Title: Equivariant Connections and their applications to Yang-Mills equations
Authors: Driss Maîtrejean
Comments: 62 pages, 2 figures
Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG)
[10]  arXiv:2406.03550 (cross-list from hep-th) [pdf, other]
Title: BPS complexes and Chern--Simons theories from $G$-structures in gauge theory and gravity
Authors: Julian Kupka, Charles Strickland-Constable, Eirik Eik Svanes, David Tennyson, Fridrich Valach
Comments: 56 + 1 pages
Subjects: High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

Thu, 6 Jun 2024

[11]  arXiv:2406.03347 [pdf, ps, other]
Title: Minimal submanifolds and stability in Einstein manifolds
Authors: Mustafa Kalafat, Özgür Kelekçi, Mert Taşdemir
Comments: 16 pages, 3 figures
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Geometric Topology (math.GT)
[12]  arXiv:2406.03284 [pdf, ps, other]
Title: Geometric inequalities for quasi-Einstein manifolds
Authors: Rafael Diógenes, Jaciane Gonçalves, Ernani Ribeiro Jr
Subjects: Differential Geometry (math.DG)
[13]  arXiv:2406.03076 [pdf, ps, other]
Title: Fourier integral operators on Hardy spaces with Hormander class
Authors: Ye Xiaofeng, Zhang Chunjie, Zhu Xiangrong
Comments: 24 pages
Subjects: Differential Geometry (math.DG)
[14]  arXiv:2406.02828 [pdf, ps, other]
Title: 3-circle Theorem for Willmore surface I
Authors: Yuxiang Li, Hao Yin
Comments: 20 pages
Subjects: Differential Geometry (math.DG)
[15]  arXiv:2406.02781 [pdf, other]
Title: Bounding Shortest Closed Geodesics with Diameter on compact 2-dimensional Orbifolds Homeomorphic to $S^2$
Authors: Jinxuan Chen
Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)
[16]  arXiv:2406.02735 (cross-list from math.AP) [pdf, ps, other]
Title: Existence and nonexistence of minimizers for classical capillarity problems in presence of nonlocal repulsion and gravity
Authors: Giulio Pascale
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG); Functional Analysis (math.FA); Optimization and Control (math.OC)
[17]  arXiv:2406.02621 (cross-list from gr-qc) [pdf, other]
Title: A new conformal quasi-local energy in general relativity
Authors: Puskar Mondal, Shing-Tung Yau
Comments: comments welcome. arXiv admin note: text overlap with arXiv:2401.13909
Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Differential Geometry (math.DG)

Wed, 5 Jun 2024

[18]  arXiv:2406.02516 [pdf, ps, other]
Title: Bottom spectrum of three-dimensional manifolds with scalar curvature lower bound
Authors: Ovidiu Munteanu, Jiaping Wang
Comments: The sharp spectral bound was initially included in arXiv:2201.05595 by the same authors; now it is part of this separate submission, which also covers rigidity results. Final version, to appear in Journal of Functional Analysis. 30 pages. arXiv:2201.05595 has been updated to reflect its new content
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[19]  arXiv:2406.02351 [pdf, ps, other]
Title: Integral curvature estimates for solutions to Ricci flow with $L^p$ bounded scalar curvature
Authors: Jiawei Liu, Miles Simon
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[20]  arXiv:2406.02323 [pdf, ps, other]
Title: The geometric Toda equations for noncompact symmetric spaces
Authors: Ian McIntosh
Comments: 39 pages, 1 figure
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)
[21]  arXiv:2406.02279 [pdf, ps, other]
Title: A family of $4$-manifolds with nonnegative Ricci curvature and prescribed asymptotic cone
Authors: Shengxuan Zhou
Comments: 26 pages, any comments are welcome!
Subjects: Differential Geometry (math.DG)
[22]  arXiv:2406.02274 [pdf, other]
Title: Positive Ricci curvature on connected sums of fibre bundles
Authors: Philipp Reiser
Comments: 33 pages
Subjects: Differential Geometry (math.DG); Geometric Topology (math.GT)
[23]  arXiv:2406.02068 [pdf, ps, other]
Title: SYZ and optimal transport stability of Weyl polytopes
Authors: Thibaut Delcroix, Jakob Hultgren
Comments: 11 pages, comments welcome!
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)
[24]  arXiv:2406.02053 [pdf, ps, other]
Title: Geometric surgeries of three-dimensional flag structures and non-uniformizable examples
Authors: Elisha Falbel (IMJ-PRG (UMR\_7586), OURAGAN), Martin Mion-Mouton (MPI-MiS)
Subjects: Differential Geometry (math.DG)
[25]  arXiv:2406.01800 [pdf, ps, other]
Title: Projective and Carrollian geometry at time/space-like infinity on projectively compact Ricci flat Einstein manifolds
Authors: Jack Borthwick, Yannick Herfray
Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
[26]  arXiv:2406.02489 (cross-list from math.AG) [pdf, ps, other]
Title: Stability theory over toroidal or Novikov type base and Canonical modifications
Authors: Yuji Odaka
Subjects: Algebraic Geometry (math.AG); Differential Geometry (math.DG); Symplectic Geometry (math.SG)
[27]  arXiv:2406.02476 (cross-list from math-ph) [pdf, ps, other]
Title: Around the codifferential of products of p-forms and generalized interior products
Authors: E. Huguet, J. Queva, J. Renaud
Comments: Revtex 8 pages
Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)
[28]  arXiv:2406.01773 (cross-list from math.MG) [pdf, other]
Title: Concurrent normals problem for convex polytopes and Euclidean distance degree
Authors: Ivan Nasonov, Gaiane Panina, Dirk Siersma
Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)

Tue, 4 Jun 2024

[29]  arXiv:2406.01530 [pdf, ps, other]
Title: Torsion-free Connections with prescribed Curvature
Authors: Efrain Basurto-Arzate
Comments: 18 pages
Subjects: Differential Geometry (math.DG)
[30]  arXiv:2406.01090 [pdf, other]
Title: Volumes of Bott-Chern classes
Authors: Sébastien Boucksom, Vincent Guedj, Chinh H. Lu
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Complex Variables (math.CV)
[31]  arXiv:2406.00995 [pdf, ps, other]
Title: Volume forms on balanced manifolds and the Calabi-Yau equation
Authors: Mathew George
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Complex Variables (math.CV)
[32]  arXiv:2406.00970 [pdf, ps, other]
Title: Limits of manifolds with boundary
Authors: Takao Yamaguchi, Zhilang Zhang
Comments: 6 figures
Subjects: Differential Geometry (math.DG); Metric Geometry (math.MG)
[33]  arXiv:2406.00642 [pdf, ps, other]
Title: Equivariant Seiberg-Witten theory
Authors: David Baraglia
Comments: 60 pages
Subjects: Differential Geometry (math.DG); Geometric Topology (math.GT)
[34]  arXiv:2406.00558 [pdf, other]
Title: Rigidity of compact rank one symmetric spaces
Authors: Chris Connell, Mitul Islam, Thang Nguyen, Ralf Spatzier
Comments: 15 pages, 2 figures
Subjects: Differential Geometry (math.DG)
[35]  arXiv:2406.01461 (cross-list from cs.LG) [pdf, other]
Title: Hardness of Learning Neural Networks under the Manifold Hypothesis
Authors: Bobak T. Kiani, Jason Wang, Melanie Weber
Subjects: Machine Learning (cs.LG); Differential Geometry (math.DG); Machine Learning (stat.ML)
[36]  arXiv:2406.01148 (cross-list from math.SG) [pdf, other]
Title: On the topology of loops of contactomorphisms and Legendrians in non-orderable manifolds
Authors: Luis Hernández-Corbato, Javier Martínez-Aguinaga
Comments: 11 pages, 4 figures
Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG); Geometric Topology (math.GT)
[37]  arXiv:2406.00953 (cross-list from math.AP) [pdf, ps, other]
Title: Viscosity solution to complex Hessian equations on compact Hermitian manifolds
Authors: Jingrui Cheng, Yulun Xu
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[38]  arXiv:2406.00607 (cross-list from math.DS) [pdf, other]
Title: Smooth orbit equivalence rigidity for dissipative geodesic flows
Authors: Javier Echevarría Cuesta
Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)
[39]  arXiv:2406.00499 (cross-list from cs.LG) [pdf, ps, other]
Title: Conformal Transformation of Kernels: A Geometric Perspective on Text Classification
Authors: Ioana Rădulescu (Lăzărescu), Alexandra Băicoianu, Adela Mihai
Comments: 30 pages
Subjects: Machine Learning (cs.LG); Information Theory (cs.IT); Differential Geometry (math.DG)
[40]  arXiv:2406.00241 (cross-list from math.AP) [pdf, ps, other]
Title: On the three-dimensional shape of a crystal
Authors: Emanuel Indrei, Aram Karakhanyan
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Differential Geometry (math.DG)
[41]  arXiv:2406.00095 (cross-list from hep-th) [pdf, other]
Title: Can you hear the Planck mass?
Authors: G. Bruno De Luca, Nicolò De Ponti, Andrea Mondino, Alessandro Tomasiello
Comments: 35 pages, 1 figure
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph); Differential Geometry (math.DG); Metric Geometry (math.MG)

Mon, 3 Jun 2024

[42]  arXiv:2405.20873 [pdf, ps, other]
Title: Mutually unbiased bases via complex projective trigonometry
Authors: Mikhail G. Katz
Comments: 6 pages, to appear in Open Mathematics
Subjects: Differential Geometry (math.DG)
[43]  arXiv:2405.20864 [pdf, other]
Title: Cartan Geometry and Infinite-Dimensional Kempf-Ness Theory
Authors: Tobias Diez, Akito Futaki, Tudor Ratiu
Subjects: Differential Geometry (math.DG); Symplectic Geometry (math.SG)
[44]  arXiv:2405.20823 [pdf, ps, other]
Title: On cohomological invariants of complex and almost complex manifolds
Authors: Riccardo Piovani
Comments: 20 pages
Subjects: Differential Geometry (math.DG); Complex Variables (math.CV)
[45]  arXiv:2405.20796 [pdf, ps, other]
Title: Regularity of minimal surfaces with capillary boundary conditions
Authors: Luigi De Masi, Nick Edelen, Carlo Gasparetto, Chao Li
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[46]  arXiv:2405.20784 [pdf, other]
Title: Totally geodesic submanifolds in the manifold SPD of symmetric positive-definite real matrices
Authors: Alice Barbara Tumpach, Gabriel Larotonda
Comments: arXiv admin note: text overlap with arXiv:math-ph/0605039
Subjects: Differential Geometry (math.DG)
[47]  arXiv:2405.20545 [pdf, other]
Title: A lower bound for the first eigenvalue of a minimal hypersurface in the sphere
Authors: Asun Jiménez, Carlos Tapia Chinchay, Detang Zhou
Subjects: Differential Geometry (math.DG)
[48]  arXiv:2405.20464 [pdf, other]
Title: Index theory on Pin manifolds
Authors: Daniel S. Freed
Comments: 19 pages, 5 figures
Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Algebraic Topology (math.AT)
[49]  arXiv:2405.20345 [pdf, ps, other]
Title: Bifurcation and Local Rigidity of Homogeneous Solutions to the Yamabe Problem on Aloff-Wallach Spaces
Authors: Lino Anderson da Silva Grama, Kennerson Nascimento de Sousa Lima
Subjects: Differential Geometry (math.DG)
[50]  arXiv:2405.21024 (cross-list from cond-mat.soft) [pdf, other]
Title: Programming evolution of geometry in shape-morphing sheets via spatiotemporal activation
Authors: Daniel Duffy, Itay Griniasty, John Biggins, Cyrus Mostajeran
Subjects: Soft Condensed Matter (cond-mat.soft); Differential Geometry (math.DG)
[ total of 50 entries: 1-50 ]
[ showing 50 entries per page: fewer | more ]

Disable MathJax (What is MathJax?)

Links to: arXiv, form interface, find, math, new, 2406, contact, help  (Access key information)