Differential Geometry

Authors and titles for September 2024

[151] arXiv:2409.01583 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: On the anisotropic Calderón's problem Show Chinese title

Title: 关于各向异性Calderón问题

Gunther Uhlmann, Jian Zhai

Comments: The argument is incorrect

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[152] arXiv:2409.01810 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: A Note On Projective Structures On Compact Surfaces Show Chinese title

Title: 关于紧致曲面上的射影结构的一点注记

Xiao Liu

Comments: 48 pages, no figure. Need for and scope of quotient reduced, overall conclusion sharpened, elementary analysis at orbifold loci expanded. Notation readjusted

Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph) ; Complex Variables (math.CV) ; Differential Geometry (math.DG)

[153] arXiv:2409.02216 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Classification of generalized Seifert fiber spaces Show Chinese title

Title: 广义Seifert纤维空间的分类

Fernando Galaz-Garcia, Jesús Núñez-Zimbrón

Comments: 9 pages

Subjects: Geometric Topology (math.GT) ; Differential Geometry (math.DG) ; Metric Geometry (math.MG)

[154] arXiv:2409.03308 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The Dirichlet problem for a class of curvature equations in Minkowski space Show Chinese title

Title: 闵可夫斯基空间中一类曲率方程的狄利克雷问题

Mengru Guo, Heming Jiao

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[155] arXiv:2409.03571 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: K-polystability of Fano 4-folds with large Lefschetz defect Show Chinese title

Title: Fano 4-流形的K-稳定性与大的Lefschetz缺陷

Eleonora A. Romano, Saverio A. Secci

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[156] arXiv:2409.03803 (cross-list from gr-qc) [cn-pdf, pdf, other]

Title: OGRePy: An Object-Oriented General Relativity Package for Python Show Chinese title

Title: OGRePy：Python 的面向对象广义相对论包

Barak Shoshany

Comments: 5 pages, version published in JORS, full documentation and source code available at https://github.com/bshoshany/OGRePy

Journal-ref: Journal of Open Research Software, 13: 9 (2025)

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Software (cs.MS) ; Symbolic Computation (cs.SC) ; Differential Geometry (math.DG)

[157] arXiv:2409.03847 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: All-orders moduli for type II flux backgrounds Show Chinese title

Title: 所有阶数的模对于II型通量背景

George R. Smith, David Tennyson, Daniel Waldram

Comments: 56+19pp, 1 figure

Subjects: High Energy Physics - Theory (hep-th) ; Differential Geometry (math.DG)

[158] arXiv:2409.04342 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators Show Chinese title

Title: 近似辛实现：构造泊松积分器的一般框架

Alejandro Cabrera, David Martín de Diego, Miguel Vaquero

Subjects: Numerical Analysis (math.NA) ; Differential Geometry (math.DG)

[159] arXiv:2409.04350 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: The decoupling of moduli about the standard embedding Show Chinese title

Title: 模量关于标准嵌入的解耦

Beatrice Chisamanga, Jock McOrist, Sebastien Picard, Eirik Eik Svanes

Comments: v2: 19 pages, minor changes to the presentation, references updated

Subjects: High Energy Physics - Theory (hep-th) ; Differential Geometry (math.DG)

[160] arXiv:2409.04492 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Nonlinear Fenchel Conjugates Show Chinese title

Title: 非线性Fenchel共轭

Anton Schiela, Roland Herzog, Ronny Bergmann

Subjects: Functional Analysis (math.FA) ; Differential Geometry (math.DG) ; Optimization and Control (math.OC)

[161] arXiv:2409.04611 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: The distribution of dilating sets: a journey from Euclidean to hyperbolic geometry Show Chinese title

Title: 膨胀集的分布：从欧几里得几何到双曲几何的旅程

Emilio Corso

Comments: 30 pages, no figures

Journal-ref: Ergodic theory and dynamical systems, 57-97. De Gruyter Proc. Math. De Gruyter, Berlin, 2024

Subjects: Dynamical Systems (math.DS) ; Classical Analysis and ODEs (math.CA) ; Differential Geometry (math.DG)

[162] arXiv:2409.04954 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Spectral invariants and equivariant monopole Floer homology for rational homology three-spheres Show Chinese title

Title: 谱不变量和有理同调三球面的等变单极 Floer 同调

Minh Lam Nguyen

Comments: Comments are welcome! 54 pages, LaTex; typos corrected in statement of Theorem 1.6, references added for Subsection 1.2

Subjects: Geometric Topology (math.GT) ; Differential Geometry (math.DG)

[163] arXiv:2409.05157 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Sharp $\mathrm{L}^\infty$ estimates for fully non-linear elliptic equations on compact complex manifolds Show Chinese title

Title: 完全非线性椭圆方程在紧致复流形上的$\mathrm{L}^\infty$估计

Yuxiang Qiao

Comments: 56 pages. Any comments welcome!

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[164] arXiv:2409.05700 (cross-list from gr-qc) [cn-pdf, pdf, other]

Title: Regularity of the Future Event Horizon in Perturbations of Kerr Show Chinese title

Title: Kerr扰动中未来事件视界的正则性

Xuantao Chen, Sergiu Klainerman

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[165] arXiv:2409.05970 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Nonholonomic momentum map reduction and a Chaplygin-type foliation Show Chinese title

Title: 非完整动量图约化和一个 Chaplygin 类似层化

Paula Balseiro, Danilo Machado Tereza

Subjects: Mathematical Physics (math-ph) ; Differential Geometry (math.DG)

[166] arXiv:2409.06022 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Existence of ground states for free energies on the hyperbolic space Show Chinese title

Title: 双曲空间上自由能的基态存在性

José A. Carrillo, Razvan C. Fetecau, Hansol Park

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[167] arXiv:2409.06052 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Generic singularities of holomorphic foliations by curves on $\mathbb{P}^n$ Show Chinese title

Title: 复曲线叶层的全纯叶层的通用奇点在$\mathbb{P}^n$

Sahil Gehlawat, Viêt-Anh Nguyên

Comments: 20 pages

Subjects: Complex Variables (math.CV) ; Differential Geometry (math.DG)

[168] arXiv:2409.06170 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Deformations of Lipschitz Homeomorphisms Show Chinese title

Title: Lipschitz同胚的变形

Mohammad Alattar

Subjects: Geometric Topology (math.GT) ; Differential Geometry (math.DG) ; Metric Geometry (math.MG)

[169] arXiv:2409.06303 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: S-dual of Hamiltonian $\mathbf G$ spaces and relative Langlands duality Show Chinese title

Title: S对偶的哈密顿$\mathbf G$空间和相对朗兰兹对偶性

Hiraku Nakajima

Comments: 11 pages

Journal-ref: 71st Geometry Symposium, Kansai University, September 10, 2024

Subjects: Algebraic Geometry (math.AG) ; High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph) ; Differential Geometry (math.DG) ; Representation Theory (math.RT)

[170] arXiv:2409.06418 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Curvature and local matchings of conference graphs and extensions Show Chinese title

Title: 曲率和会议图的局部匹配及其扩展

Kaizhe Chen, Shiping Liu, Heng Zhang

Comments: A new sufficient condition (5) where $\alpha\geq \beta$ is added. All comments are welcome!

Subjects: Combinatorics (math.CO) ; Differential Geometry (math.DG)

[171] arXiv:2409.06573 (cross-list from math.MG) [cn-pdf, pdf, html, other]

Title: Spherical and hyperbolic orthogonal ring patterns: integrability and variational principles Show Chinese title

Title: 球面和双曲正交环形图案：可积性与变分原理

Alexander I. Bobenko

Comments: 29 pages, 11 figures, some formulas for hyperbolic ring patters are corrected

Subjects: Metric Geometry (math.MG) ; Mathematical Physics (math-ph) ; Complex Variables (math.CV) ; Differential Geometry (math.DG) ; Exactly Solvable and Integrable Systems (nlin.SI)

[172] arXiv:2409.07316 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: On Character Variety of Anosov Representations Show Chinese title

Title: 关于Anosov表示的特征簇

Krishnendu Gongopadhyay, Tathagata Nayak

Comments: Final version of this article

Journal-ref: Bulletin des Sciences Math\'ematiques, Volume 202: Paper No. 103621, 2025

Subjects: Geometric Topology (math.GT) ; Complex Variables (math.CV) ; Differential Geometry (math.DG) ; Group Theory (math.GR) ; Representation Theory (math.RT)

[173] arXiv:2409.07502 (cross-list from gr-qc) [cn-pdf, pdf, html, other]

Title: A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing Show Chinese title

Title: 科文-肖恩双曲粘合的Bogovskiǐ型算子

Piotr T. Chruściel, Albachiara Cogo, Andrea Nützi

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Differential Geometry (math.DG)

[174] arXiv:2409.08768 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Measure-Theoretic Time-Delay Embedding Show Chinese title

Title: 测度论时间延迟嵌入

Jonah Botvinick-Greenhouse, Maria Oprea, Romit Maulik, Yunan Yang

Comments: 32 pages, 8 figures

Subjects: Dynamical Systems (math.DS) ; Machine Learning (cs.LG) ; Differential Geometry (math.DG)

[175] arXiv:2409.08922 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Some recent developments on isometric immersions via compensated compactness and gauge transforms Show Chinese title

Title: 等距浸入的一些最新进展通过补偿紧性与规范变换

Siran Li

Comments: 18 pages. Survey article dedicated to Prof. Gui-Qiang Chen's 60th birthday

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[176] arXiv:2409.08923 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: The polyhedral decomposition of cusped hyperbolic $n$-manifolds with totally geodesic boundary Show Chinese title

Title: 尖锐双曲$n$-流形的多面体分解与全测地边界

Ge Huabin, Jia Longsong, Zhang Faze

Comments: 20 pages, 3 figures

Subjects: Geometric Topology (math.GT) ; Differential Geometry (math.DG)

[177] arXiv:2409.08957 (cross-list from math.RA) [cn-pdf, pdf, other]

Title: Lie's Third Theorem for Lie $\infty$-Algebras Show Chinese title

Title: 李的第三定理对于李$\infty$-代数

Christopher L. Rogers, Jesse Wolfson

Comments: 88 pages. Comments welcome

Subjects: Rings and Algebras (math.RA) ; Algebraic Topology (math.AT) ; Differential Geometry (math.DG)

[178] arXiv:2409.09094 (cross-list from gr-qc) [cn-pdf, pdf, html, other]

Title: Nonexistence of closed timelike geodesics in Kerr spacetimes Show Chinese title

Title: Kerr时空中不存在闭合类时测地线

Giulio Sanzeni

Comments: Published in Journal of Mathematical Physics. Section (2) (construction of the Kerr-star spacetime) and Section (3) (geodesic motion in Kerr spacetimes) overlap with analogous sections in the Author previous work [arXiv:2308.09631v3 (2024)] (the contents are known basic facts about Kerr spacetimes)

Journal-ref: J. Math. Phys. 65, 082503 (2024)

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Differential Geometry (math.DG)

[179] arXiv:2409.09142 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Abundance and SYZ conjecture in families of hyperkahler manifolds Show Chinese title

Title: 丰富性与超凯勒流形族中的SYZ猜想

Andrey Soldatenkov, Misha Verbitsky

Comments: 25 pages, 2 figures, version 2.0, to appear in Epiga

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[180] arXiv:2409.09897 (cross-list from math.CV) [cn-pdf, pdf, html, other]

Title: Geometry of the slice regular Möbius transformations of the quaternionic unit ball Show Chinese title

Title: 四元数单位球的切片正则莫比乌斯变换的几何学

Raul Quiroga-Barranco

Subjects: Complex Variables (math.CV) ; Differential Geometry (math.DG)

[181] arXiv:2409.10238 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Enumeration of Rational Cuspidal Curves via the WDVV equation Show Chinese title

Title: 有理Cuspidal曲线的枚举通过WDVV方程

Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee, Anantadulal Paul

Comments: 20 pages, 8 figures. Comments are welcome. Made some changes to the exposition

Journal-ref: Experimental Mathematics, 2025

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[182] arXiv:2409.10264 (cross-list from math.RA) [cn-pdf, pdf, html, other]

Title: Smooth geometry of double extension regular algebras of type (14641) Show Chinese title

Title: 类型(14641)的双扩张正规代数的光滑几何

Andrés Rubiano, Armando Reyes

Comments: 32 pages. arXiv admin note: text overlap with arXiv:2408.16648

Subjects: Rings and Algebras (math.RA) ; Differential Geometry (math.DG) ; Quantum Algebra (math.QA)

[183] arXiv:2409.10334 (cross-list from math.SG) [cn-pdf, pdf, html, other]

Title: Contact non-squeezing in various closed prequantizations Show Chinese title

Title: 各种闭合预量子化中的接触不可压缩性

Pierre-Alexandre Arlove

Comments: We have replaced Proposition 6.4 (version 1) by Theorem 1.3 (version 2). The assumptions in Theorem 1.3 (version 2) are more restrictive than the ones of Proposition 6.4 (version 1), however the validity of Proposition 6.4 (version 1) was based on the validity of a conjecture while Theorem 1.3 (version 2) is fully proved by introducing a new spectral selector (section 7 of version 2)

Subjects: Symplectic Geometry (math.SG) ; Differential Geometry (math.DG)

[184] arXiv:2409.11177 (cross-list from math.MG) [cn-pdf, pdf, html, other]

Title: Curvature-dimension condition of sub-Riemannian $α$-Grushin half-spaces Show Chinese title

Title: 子黎曼$α$-Grushin 半空间的曲率-维数条件

Samuël Borza, Kenshiro Tashiro

Comments: 16 pages. v2: 19 pages. Some significant clarifications added, corrections to a computation. Final version to appear in the Transactions of the London Mathematical Society

Subjects: Metric Geometry (math.MG) ; Differential Geometry (math.DG)

[185] arXiv:2409.11322 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Principal binets Show Chinese title

Title: 主宾语

Niklas Christoph Affolter, Jan Techter

Comments: 73 pages, 30 figures

Subjects: Mathematical Physics (math-ph) ; Differential Geometry (math.DG)

[186] arXiv:2409.11961 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: On four-dimensional Dehn twists and Milnor fibrations Show Chinese title

Title: 四维德恩扭转与米尔诺纤维化

Hokuto Konno, Jianfeng Lin, Anubhav Mukherjee, Juan Muñoz-Echániz

Comments: 72 pages. Comments are welcome!

Subjects: Geometric Topology (math.GT) ; Algebraic Geometry (math.AG) ; Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[187] arXiv:2409.11973 (cross-list from hep-th) [cn-pdf, pdf, html, other]

Title: Drinfel'd Doubles, Twists and All That... in Stringy Geometry and M Theory Show Chinese title

Title: 德林费尔德双代数、扭曲及相关内容……在弦几何与M理论中的研究

Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu

Comments: 44 pages

Subjects: High Energy Physics - Theory (hep-th) ; Mathematical Physics (math-ph) ; Differential Geometry (math.DG)

[188] arXiv:2409.12022 (cross-list from math.AG) [cn-pdf, pdf, other]

Title: The versal deformation of Kurke-LeBrun manifolds Show Chinese title

Title: Kurke-LeBrun流形的普遍变形

Bernd Kreussler, Jan Stevens

Comments: 43 pages

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[189] arXiv:2409.12057 (cross-list from stat.ML) [cn-pdf, pdf, html, other]

Title: Cartan moving frames and the data manifolds Show Chinese title

Title: 嘉当活动框架与数据流形

Eliot Tron, Rita Fioresi, Nicolas Couellan, Stéphane Puechmorel

Subjects: Machine Learning (stat.ML) ; Machine Learning (cs.LG) ; Differential Geometry (math.DG)

[190] arXiv:2409.12430 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Conformal deformation of a Riemannian metric via an Einstein-Dirac parabolic flow Show Chinese title

Title: 通过爱因斯坦-狄拉克抛物型流的共形度量变形

Yannick Sire, Tian Xu

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[191] arXiv:2409.13617 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Arcs, stability of pairs and the Mabuchi functional Show Chinese title

Title: 弧，对的稳定性以及Mabuchi泛函

Ruadhaí Dervan, Rémi Reboulet

Comments: 38 pages

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[192] arXiv:2409.13660 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Mixed quantization and partial hyperbolicity Show Chinese title

Title: 混合量化和部分双曲性

Snir Ben Ovadia, Qiaochu Ma, Federico Rodriguez-Hertz

Subjects: Dynamical Systems (math.DS) ; Analysis of PDEs (math.AP) ; Differential Geometry (math.DG) ; Spectral Theory (math.SP)

[193] arXiv:2409.13771 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills--like formulation Show Chinese title

Title: 与非形式伪微分算子、非形式解以及类似杨-米尔斯的表述相关的Kadomtsev-Petviashvili层次结构

Jean-Pierre Magnot, Enrique G. Reyes

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th) ; Differential Geometry (math.DG)

[194] arXiv:2409.14151 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: Numerical calculation method for function integration on submanifolds of $\mathbb{R}^n$ or compact Riemannian manifolds Show Chinese title

Title: 适用于$\mathbb{R}^n$或紧致黎曼流形的子流形上的函数积分的数值计算方法

Fusheng Deng, Gang Huang, Yingyi Wu

Subjects: Numerical Analysis (math.NA) ; Differential Geometry (math.DG)

[195] arXiv:2409.14182 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Fine Pólya-Szegő rearrangement inequalities in metric spaces and applications Show Chinese title

Title: 精细的Pólya-Szegő重排不等式在度量空间中的应用

Francesco Nobili, Ivan Yuri Violo

Comments: Updated version published in Calc. Var. PDE. Theorem 1.4 and Theorem 1.5 of v1 removed, to appear in a standalone paper

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG) ; Metric Geometry (math.MG)

[196] arXiv:2409.14568 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Jacobi algebroids and Jacobi sigma models Show Chinese title

Title: 雅可比代数胚和雅可比σ模型

Fabio Di Cosmo, Katarzyna Grabowska, Janusz Grabowski

Comments: 35 pages

Journal-ref: Reviews in 2 Mathematical Physics 3 (2025) 2550004 (42 pages)

Subjects: Mathematical Physics (math-ph) ; Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)

[197] arXiv:2409.14582 (cross-list from gr-qc) [cn-pdf, pdf, html, other]

Title: Formation of Trapped Surfaces in Geodesic Foliation Show Chinese title

Title: 在测地线叶层中陷阱面的形成

Xuantao Chen, Sergiu Klainerman

Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[198] arXiv:2409.14597 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: On the Euler Characteristic of Odd-Dimensional Orbifolds and Their Boundaries Show Chinese title

Title: 关于奇数维轨道空间及其边界欧拉示性数

Ramon Gallardo

Subjects: Geometric Topology (math.GT) ; Differential Geometry (math.DG)

[199] arXiv:2409.14869 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Quantitative approximate definable choices Show Chinese title

Title: 定量近似可定义选择

Antonio Lerario, Luca Rizzi, Daniele Tiberio

Comments: accepted version, to appear on Mathematische Annalen

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG) ; Metric Geometry (math.MG)

[200] arXiv:2409.15401 (cross-list from math.GT) [cn-pdf, pdf, html, other]

Title: Flexibility of singularities and beyond Show Chinese title

Title: 奇异性的灵活性及其超越

Daniel Alvarez-Gavela

Comments: This is an essay for an upcoming volume dedicated to Yasha Eliashberg. Comments are greatly appreciated, including but not limited to correcting historical inaccuracies, adding appropriate references and including amusing anecdotes. Thanks!

Subjects: Geometric Topology (math.GT) ; Differential Geometry (math.DG) ; Symplectic Geometry (math.SG)