arXiv math.MG Metric Geometry

Typical Kakeya-type sets and their typical code sets arXiv:2610.37419 Equidistant Affine Subspaces: Explicit Bounds, Codimension-Two Reduc... arXiv:2610.37421 No Connectedness Lemma for Alexandrov spaces arXiv:2610.37476

New upper bounds for average kissing numbers arXiv:2610.36675 On surfaces, that fill the space arXiv:2610.36766 Improved Brunn--Minkowski inequality for \theta-convolution bodies arXiv:2610.37066

The reverse isoperimetric inequality for convex shapes included in a... arXiv:2610.36220 An approximate inner ball condition characterizing C^{1,\alpha} conv... arXiv:2610.36238 Outer Lipschitz Geometry of Unions of Tangential Nodal Sets arXiv:2610.36381

An isometric embedding of the space of non-increasing sequences with... arXiv:2610.34727

A Pythagoras Tree Grown from a Dodecahedron arXiv:2610.33975 A note on consequences of Mahler's inequalities arXiv:2610.34396 Approximating the Euclidean Ball by Polytopes: Surprising Rates in H... arXiv:2610.34651

Group Actions on Aspherical Alexandrov Spaces arXiv:2610.32081 Sobolev inequalities for sections and projections of log-concave fun... arXiv:2610.32886

Affine fractional Orlicz--Sobolev inequalities and optimal star bodies arXiv:2610.30689 Dual medial axes in finite-dimensional normed spaces arXiv:2610.30878 Lipschitz clustering in normed spaces and barycentric spaces arXiv:2610.31555

Lipschitz numbers and fine differentiability on metric measure spaces arXiv:2610.29359 Examples of absolutely minimal polyhedral chains in maximum norm spaces arXiv:2610.29593 Macroscopic Poincar\'e Inequalities and Weak-Type Characterizations ... arXiv:2610.29789

Spherically Supported Sets with Variable Radii arXiv:2610.28789 A counterexample to Gale's conjecture in \mathbb{R}^3 arXiv:2610.28828 Strongly log-concave measures and lattices arXiv:2610.29238

Metrization of the Fell Topology and the Wijsman Topology for the Bo... arXiv:2610.27795 Median spaces with the strict separation property and superrigidity ... arXiv:2610.27866 An exact formula for optimal axis-parallel packing of eight squares arXiv:2610.28504

Braid spaces have no geodesic loops arXiv:2610.27437 An orthogonality inequality in \mathbb{RP}^{n-1} and the double-cap ... arXiv:2610.27523 A cut-and-project set which is not bi-Lipschitz equivalent to a lattice arXiv:2610.27640

Inscribed 4-polytopes of maximal volume with seven and eight vertices arXiv:2610.26886 The Volume Exchange Metric arXiv:2610.26897 Littlewood's mutually touching cylinders: the maximum is seven arXiv:2610.26940

Finite convexification by Minkowski summation arXiv:2610.26744

Infinitesimally Euclidean metric surfaces arXiv:2610.24626 Distributions of metric n-point invariants and applications to molec... arXiv:2610.26070 Depth based on translates of a convex body: geometry, floating bodie... arXiv:2610.26108

Sharp Gromov Hyperbolicity Constants for Cartesian Products of Finit... arXiv:2610.24253 Dimension Thresholds for Relative-Error Representations of Finite Me... arXiv:2610.24254 Every Extended Metric Space Is Isometrically Embeddable into the Gro... arXiv:2610.24279

Axis-parallel square packing with an exact formula for optimal packi... arXiv:2610.22622 Rational Area Profiles of Regular Polygons Cut by Two Congruent Diag... arXiv:2610.22970 Stability of Hyperplane Projections of the Regular Simplex and L_p-P... arXiv:2610.23489

Napoleonic triangles on the sphere from similar chord triangles arXiv:2610.21408 On the Solution Sets of the Cone-Volume Map arXiv:2610.21533 SL(n)-covariant symmetric tensor valuations on polytopes arXiv:2610.22114

Strong Negative Type of Star-shaped Manifolds arXiv:2610.20023

Blaschke--Santal\'o inequalities with respect to costs arXiv:2610.19085 Orthogonal partition by four hyperplanes arXiv:2610.19214 A short open space curve of unit width arXiv:2610.19585

Pointed Gromov-Hausdorff Distance between l^p-Wedge Sums and Isometr... arXiv:2610.12626 Each simplex in \mathbb{R}^4 has a point with at least 14 emanating ... arXiv:2610.13475