Metric Geometry

Authors and titles for recent submissions

• Fri, 26 Sep 2025
• Thu, 25 Sep 2025
• Wed, 24 Sep 2025
• Tue, 23 Sep 2025
• Mon, 22 Sep 2025

See today's new changes

Fri, 26 Sep 2025 (showing 2 of 2 entries )

[1] arXiv:2509.21025 (cross-list from math.MG) [cn-pdf, pdf, html, other]

Title: A Reshetnyak type theorem for quasiregular values on Carnot groups of $H$-type Show Chinese title

Title: 一个关于Carnot群上拟正则值的Reshetnyak型定理$H$-类型

Deguang Zhong

Subjects: Metric Geometry (math.MG) ; Complex Variables (math.CV)

[2] arXiv:2509.21066 (cross-list from math.OC) [cn-pdf, pdf, html, other]

Title: A Riemannian Variational and Spectral Framework for High-Dimensional Sphere Packing: Barrier-Dynamics Reconciliation, Periodic Rigidity, and Discrete-Time Guarantees Show Chinese title

Title: 一种高维球体填充的黎曼变分与谱框架：障碍物动力学协调、周期刚性与离散时间保证

Faruk Alpay, Hamdi Alakkad

Comments: 9 pages

Subjects: Optimization and Control (math.OC) ; Metric Geometry (math.MG)

Thu, 25 Sep 2025 (showing 3 of 3 entries )

[3] arXiv:2509.19565 (cross-list from math.MG) [cn-pdf, pdf, html, other]

Title: Peeling metric spaces of strict negative type Show Chinese title

Title: 严格负类型度量空间的剥皮

Steve Huntsman

Subjects: Metric Geometry (math.MG)

[4] arXiv:2509.20257 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: On the conjectured capillary Blaschke-Santaló inequality Show Chinese title

Title: 关于猜想的毛细管Blaschke-Santaló不等式

Carlos Cabezas-Moreno, Yingxiang Hu, Mohammad N. Ivaki

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

[5] arXiv:2509.20058 (cross-list from math.PR) [cn-pdf, pdf, html, other]

Title: Central limit theorems for random boundary polytopes Show Chinese title

Title: 随机边界多面体的中心极限定理

Matthias Reitzner, Mathias Sonnleitner

Comments: 21 pages

Subjects: Probability (math.PR) ; Metric Geometry (math.MG)

Wed, 24 Sep 2025 (showing 2 of 2 entries )

[6] arXiv:2509.18668 (cross-list from math.MG) [cn-pdf, pdf, html, other]

Title: Vertex-minimal hyperbolic origami 2-torus Show Chinese title

Title: 顶点最小的双曲折纸2环面

Zhengyu Zou

Comments: 23 pages, 5 figures. Traditional math inspired by computer experiments

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

[7] arXiv:2509.18941 (cross-list from math.GR) [cn-pdf, pdf, other]

Title: An illustrated introduction to the coarse topology of lamplighters Show Chinese title

Title: 粗拓扑的灯夫简介

Anthony Genevois

Comments: 75 pages, 49 figures. A version with animations is available on the author's webpage. Comments are welcome!

Subjects: Group Theory (math.GR) ; Geometric Topology (math.GT) ; Metric Geometry (math.MG)

Tue, 23 Sep 2025 (showing 3 of 3 entries )

[8] arXiv:2509.17415 (cross-list from math.MG) [cn-pdf, pdf, html, other]

Title: Uniqueness of Maximal Inscribed Parabolas and Minimal Circumscribing Horocycles Show Chinese title

Title: 最大内接抛物线和最小外接渐近圆的唯一性

Martin Lukarevski, Hans-Peter Schröcker

Subjects: Metric Geometry (math.MG)

[9] arXiv:2509.17326 (cross-list from math.MG) [cn-pdf, pdf, other]

Title: Convex bodies with sections with hyperplanes of symmetry Show Chinese title

Title: 具有对称于超平面的截面的凸体

Efrén Morales-Amaya

Subjects: Metric Geometry (math.MG)

[10] arXiv:2509.17456 (cross-list from math.AG) [cn-pdf, pdf, html, other]

Title: Infinite Euclidean Distance Discriminants Show Chinese title

Title: 无限欧几里得距离判别式

Felix Rydell, Emil Horobet

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG) ; Metric Geometry (math.MG) ; Optimization and Control (math.OC)

Mon, 22 Sep 2025 (showing 1 of 1 entries )

[11] arXiv:2509.15745 (cross-list from math.DG) [cn-pdf, pdf, other]

Title: On Markowitz's pseudodistance for conformal manifolds Show Chinese title

Title: 关于共形流形的马科维茨伪距离

Adam Chalumeau (IRMA, <a href="http://uni.lu" rel="external noopener nofollow" class="link-external link-http">this http URL</a>)

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