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Metric Geometry

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Total of 83 entries : 1-50 51-83
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Fri, 16 Oct 2026 (showing 8 of 8 entries )

[1] arXiv:2610.22114 [pdf, html, other]
Title: SL(n)-covariant symmetric tensor valuations on polytopes
Chunna Zeng, Xiaoyu Cheng
Comments: 24pages
Subjects: Metric Geometry (math.MG)
[2] arXiv:2610.21533 [pdf, html, other]
Title: On the Solution Sets of the Cone-Volume Map
Tom Baumbach, Zhang Chen, Martin Henk
Subjects: Metric Geometry (math.MG)
[3] arXiv:2610.21408 [pdf, html, other]
Title: Napoleonic triangles on the sphere from similar chord triangles
Quang Hung Tran
Comments: 16 pages, 2 figures, all comments are welcome
Subjects: Metric Geometry (math.MG)
[4] arXiv:2610.22351 (cross-list from math.LO) [pdf, other]
Title: The rank problem for metric spaces
Asger Tornquist
Comments: 42 pages
Subjects: Logic (math.LO); Metric Geometry (math.MG)
[5] arXiv:2610.21775 (cross-list from math.AP) [pdf, html, other]
Title: Causal Sobolev spaces and gradient flows
Mathias Braun, Nicola Gigli, Robert McCann, Simone Vincini
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG); Functional Analysis (math.FA); Metric Geometry (math.MG)
[6] arXiv:2610.21768 (cross-list from math.CA) [pdf, html, other]
Title: Visible parts and projections of the affine fractal percolation
Eeva Kuure, Markus Myllyoja, Aleksi Pyörälä
Comments: 42 pages, 3 figures
Subjects: Classical Analysis and ODEs (math.CA); Metric Geometry (math.MG); Probability (math.PR)
[7] arXiv:2610.21572 (cross-list from math.CO) [pdf, html, other]
Title: Lattice coverings by parallelotopes containing cube vertices
Dragomir Grozev, Nikolai Nikolov
Comments: 4 pages, 1 figure
Subjects: Combinatorics (math.CO); Metric Geometry (math.MG)
[8] arXiv:2610.21263 (cross-list from math.CO) [pdf, html, other]
Title: The Rate of the Delsarte Bound for Binary Codes and Spheres
Andrew Salmon
Comments: 32 pages, comments welcome
Subjects: Combinatorics (math.CO); Information Theory (cs.IT); Metric Geometry (math.MG)

Thu, 15 Oct 2026 (showing 8 of 8 entries )

[9] arXiv:2610.20023 [pdf, html, other]
Title: Strong Negative Type of Star-shaped Manifolds
Hang Liu, Ziyan Xu
Subjects: Metric Geometry (math.MG)
[10] arXiv:2610.19585 [pdf, html, other]
Title: A short open space curve of unit width
Tinko Sebastian Bartels, Dennis Kevin Choy, Ruixiang Wu, Tongxin Li
Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)
[11] arXiv:2610.19214 [pdf, html, other]
Title: Orthogonal partition by four hyperplanes
Alexey Fakhrutdinov, Platon Khamatov, Oleg R. Musin
Comments: 12 pages
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)
[12] arXiv:2610.19085 [pdf, html, other]
Title: Blaschke--Santaló inequalities with respect to costs
Alexander V. Kolesnikov, Galyna V. Livshyts, Liran Rotem
Comments: 25 pages
Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)
[13] arXiv:2610.20385 (cross-list from math.CA) [pdf, html, other]
Title: Gaussian rigidity and width of measures
Alessandro Pigati
Comments: 19 pages; comments are welcome
Subjects: Classical Analysis and ODEs (math.CA); Metric Geometry (math.MG); Probability (math.PR)
[14] arXiv:2610.19988 (cross-list from math.OC) [pdf, html, other]
Title: New spherical codes by tuning an annealing solver
Ilmari Vahteristo
Comments: 32 pages, 5 figures. Code: this https URL. Data: this https URL
Subjects: Optimization and Control (math.OC); Metric Geometry (math.MG)
[15] arXiv:2610.19664 (cross-list from math.DG) [pdf, html, other]
Title: The fence conjecture for convex projective polygons
Erxiao Wang
Comments: 12 pages, 4 figures
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Metric Geometry (math.MG)
[16] arXiv:2610.19253 (cross-list from math.HO) [pdf, html, other]
Title: Natural Geometry Based on the Rectilinear Plane
Mohammed Berkani
Comments: 7 pages, no figures. A foundational note on the fifth postulate, in contrast with Hilbert's neutral primitives. Keywords: parallel postulate, rectilinear plane, Hilbert's foundations, non-Euclidean geometry. Comments welcome
Subjects: History and Overview (math.HO); Metric Geometry (math.MG)

Wed, 14 Oct 2026 (showing first 34 of 44 entries )

[17] arXiv:2610.18770 [pdf, html, other]
Title: On plank coverings of cube annuli
Gergely Ambrus, Matthew Corbo, Dakota Nobuyuki Goto, Desmond Leitz, Kai Mawhinney
Comments: 21 pages
Subjects: Metric Geometry (math.MG)
[18] arXiv:2610.18351 [pdf, html, other]
Title: An explicit dimension-free isoperimetric plateau in the cube
Lei Yu
Comments: 23 pages
Subjects: Metric Geometry (math.MG)
[19] arXiv:2610.18268 [pdf, html, other]
Title: Radon Transforms of Projection Functions and Aleksandrov-Fenchel Inequalities
Leo Brauner, Oscar Ortega-Moreno, Franz E. Schuster
Comments: 21 pages
Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)
[20] arXiv:2610.18132 [pdf, html, other]
Title: Excess inertia of finite metric spaces
Kiyonori Gomi
Comments: LaTeX 2e, 28 pages
Subjects: Metric Geometry (math.MG)
[21] arXiv:2610.17909 [pdf, html, other]
Title: Geometry and barycenters in large $\CAT(κ)$ spaces
Yassine Boukhateb, Victor-Emmanuel Brunel, Austin J. Stromme
Subjects: Metric Geometry (math.MG); Statistics Theory (math.ST)
[22] arXiv:2610.17863 [pdf, html, other]
Title: Non-smooth sub-Riemannian manifolds with non-integer dimension and a Poincaré inequality
Sylvester Eriksson-Bique, Enrico Le Donne
Comments: 42 pages, comments welcome
Subjects: Metric Geometry (math.MG)
[23] arXiv:2610.17400 [pdf, html, other]
Title: Steiner Minimal Trees in the Gromov--Hausdorff Space and in Gromov--Hausdorff Clouds
I. N. Mikhailov
Comments: 16 pages, 3 figures, working paper
Subjects: Metric Geometry (math.MG)
[24] arXiv:2610.17004 [pdf, html, other]
Title: Intrinsic Rigidity of Bar-and-Joint Frameworks on Riemannian Manifolds
Matthias Adrian-Himmelmann
Comments: 28 pages plus 8 pages appendix, 7 figures
Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)
[25] arXiv:2610.16997 [pdf, html, other]
Title: A new family of constant width bodies obtained from Reuleaux polyhedra
Marcela G. Mercado-Flores, Edgardo Roldán-Pensado
Subjects: Metric Geometry (math.MG)
[26] arXiv:2610.16904 [pdf, html, other]
Title: Exponential profiles for the intrinsic volumes of Orlicz balls
Mykyta Sadok
Comments: 27 pages;
Subjects: Metric Geometry (math.MG); Probability (math.PR)
[27] arXiv:2610.15851 [pdf, html, other]
Title: Unrectifiable surfaces with intrinsic regularity in Carnot groups
Valentino Magnani, Jeremy Mirmina
Comments: 29 pages
Subjects: Metric Geometry (math.MG)
[28] arXiv:2610.14380 [pdf, other]
Title: Lattices with Large Kissing Number from Local Density
Huck Bennett, Minki Hhan, Zihan Li, Noah Stephens-Davidowitz
Subjects: Metric Geometry (math.MG); Number Theory (math.NT)
[29] arXiv:2610.14236 [pdf, html, other]
Title: Quasiconformal uniformization and extension for planar trees
Fotis Ioannidis, Vyron Vellis
Comments: 67 pages, 14 figures
Subjects: Metric Geometry (math.MG)
[30] arXiv:2610.14055 [pdf, html, other]
Title: Upper bounds for Jung constants of $\ell_1^d$
Xiao Li
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)
[31] arXiv:2610.14047 [pdf, html, other]
Title: Maximal volumes of pyramids in the unit cube
Nikolai Nikolov
Subjects: Metric Geometry (math.MG)
[32] arXiv:2610.14037 [pdf, html, other]
Title: Sharp Antipode-Neighbor Bounds in Every Dimension
Samuel Korsky
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)
[33] arXiv:2610.14032 [pdf, html, other]
Title: Polygons and coplanar points on submanifolds of codimension 2
Sohail (Neel)Sarkar
Comments: 11 pages
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO); Differential Geometry (math.DG)
[34] arXiv:2610.13983 [pdf, html, other]
Title: Equilateral sets in $\ell_p^n$ beyond $n+1$: Linear excess and dimension cost
Logan R. Chalmers, Aran S. Ziegler
Comments: 7 pages
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)
[35] arXiv:2610.13978 [pdf, other]
Title: An Improved Lower Bound for Packing 203 Equal Spheres in a Unit Cube
Peng Lu
Comments: Code and data: this https URL
Subjects: Metric Geometry (math.MG)
[36] arXiv:2610.13975 [pdf, html, other]
Title: The rhombic dodecahedral conjecture
Annalisa Cesaroni, Matteo Novaga
Comments: 17 pages
Subjects: Metric Geometry (math.MG); Analysis of PDEs (math.AP); Combinatorics (math.CO)
[37] arXiv:2610.13972 [pdf, html, other]
Title: Insertion and expansion of cylinders around the unit ball
Ivan Matić, Radoš Radoičić, Andreas Spomer
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)
[38] arXiv:2610.13965 [pdf, html, other]
Title: Jensen's inequality on parity classes of jump M-convex functions
Xinyue Liu
Comments: 12 pages
Subjects: Metric Geometry (math.MG); Combinatorics (math.CO)
[39] arXiv:2610.13964 [pdf, html, other]
Title: A 0.41275 lower bound for the three-dimensional Blaschke-Lebesgue problem
Yunjiang Jiang
Subjects: Metric Geometry (math.MG); Computational Geometry (cs.CG)
[40] arXiv:2610.13962 [pdf, html, other]
Title: A Power-Diagram Upper Bound for Twenty-Six Variable-Radius Disks in a Square
Ayush Agarwal
Comments: 15 pages, 1 figure; exact rational feasibility and upper-bound verification scripts and data included as ancillary source files
Subjects: Metric Geometry (math.MG)
[41] arXiv:2610.13961 [pdf, html, other]
Title: Necessary and Sufficient Criteria for the Realizability of Kaleidocycles Composed of Six Congruent Isosceles Tetrahedra
Herbert Kociemba
Comments: Supplementary Mathematica notebook containing computational details is included
Subjects: Metric Geometry (math.MG)
[42] arXiv:2610.13958 [pdf, html, other]
Title: Thirteen Results in Magnitude Theory
Venkata Siddharth Pendyala
Comments: 31 pages; comments or concerns are very much appreciated
Subjects: Metric Geometry (math.MG)
[43] arXiv:2610.13957 [pdf, html, other]
Title: $L_p$-Integral Affine Surface Area-Variational Capacity Inequalities
Yibin Feng, Ding Zhang
Subjects: Metric Geometry (math.MG)
[44] arXiv:2610.13955 [pdf, html, other]
Title: Certified Geometry and Admissible Motion of Gerver's Sofa
Dawid Trela
Comments: 22 pages. Includes a deterministic exact-rational companion verifier and independent 4-dimensional and 22-dimensional Krawczyk certificates
Subjects: Metric Geometry (math.MG); Computational Geometry (cs.CG)
[45] arXiv:2610.13953 [pdf, html, other]
Title: On the Reverse Projection Inequality
Yibin Feng, Shengnan Hu, Weiru Liu, Lei Xu
Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)
[46] arXiv:2610.13952 [pdf, html, other]
Title: Breaking the Fourth Wall: The Planar Centroid Banach--Mazur Diameter Is Strictly Less than $4$
Scott Duke Kominers
Comments: 11 pages, 2 figures
Subjects: Metric Geometry (math.MG)
[47] arXiv:2610.13950 [pdf, html, other]
Title: Platonic geodesic trees in the $K-$Space
Anastasios N. Zachos
Comments: 9 pages
Subjects: Metric Geometry (math.MG); Optimization and Control (math.OC)
[48] arXiv:2610.17270 (cross-list from math.CO) [pdf, html, other]
Title: Integer decomposition property of three-dimensional smooth polytopes: a shorter proof
Juliana Curtis, Gaku Liu
Comments: 7 pages
Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG); Metric Geometry (math.MG)
[49] arXiv:2610.17194 (cross-list from math.FA) [pdf, html, other]
Title: Absolutely minimising Lipschitz extensions between Hilbert spaces
Krzysztof J. Ciosmak
Comments: 25 pages, comments are welcome
Subjects: Functional Analysis (math.FA); Metric Geometry (math.MG)
[50] arXiv:2610.16740 (cross-list from math.PR) [pdf, html, other]
Title: Revisiting the Bobkov-Chistyakov-Götze theorem on approximately Gaussian marginals
Boaz Klartag
Comments: 10 pages. The use of AI is described in the acknowledgements
Subjects: Probability (math.PR); Metric Geometry (math.MG)
Total of 83 entries : 1-50 51-83
Showing up to 50 entries per page: fewer | more | all