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307 papers in math.MG · page 5
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Lorentzian spaces with curvature bounds satisfy majorisation theorem
Reshetnyak Majorisation and discrete upper curvature bounds for Lorentzian length spaces
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Zhang's affine Sobolev inequality holds in expectation for random p-concave functions
On stochastic forms of functional isoperimetric inequalities
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Busemann spaces with curvature bounds gain integer Hausdorff measures
On the Structure of Busemann Spaces with Non-Negative Curvature
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Explicit solution for Christoffel-Minkowski problem in revolution case
Explicit solutions to Christoffel-Minkowski problems and Hessian equations under rotational symmetries
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Functional Minkowski vectors obey additive kinematic formula
Additive Kinematic Formulas for Functional Minkowski Vectors
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Quantization coefficients stay positive and finite on Lalley-Gatzouras carpets
Convergence order of the quantization error for self-affine measures on Lalley-Gatzouras carpets
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Doubling sets in Hilbert space admit bounded tangent fields
Coarse and pointwise tangent fields
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Three hexagon types tile the plane
Hexagonal Tiling of the Plane
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Twisted torus embeddings in R^3 force small extrinsic systole
Twisted embeddings of tori have small extrinsic systole
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Pairwise uniform maps characterize Schottky sets on the sphere
Quasiconformal characterization of Schottky sets
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Equality cases in generalized dual Loomis-Whitney inequality fixed by subspace sections
Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality
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Cevian simplex volume reaches at most 1/n^n of total
The Maximum of the Volume of a Cevian Simplex and its Parts
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Ramanujan complexes from different primes resist quasi-isometric embeddings
Quasi-isometric embeddings of Ramanujan complexes
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Lampshuffler isoperimetric profiles match base group profiles
Isoperimetric profiles of lamplighter-like groups
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Every convex body fits in a quadrangle under (1-2.6e-7)√2 its area
On the minimal area of quadrangles circumscribed about planar convex bodies
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Synthetic null energy condition yields Penrose singularity theorem
On the geometry of synthetic null hypersurfaces
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Suitable vertex implies suitable faces of all dimensions
On a Simplex Inscribed in a Ball
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Full construction of 65537-gon given with compass and straightedge
Regular polygons
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Higher-rank groups fix points on infinite symmetric spaces
A fixed point theorem for the action of linear higher rank algebraic groups over local fields on symmetric spaces of infinite dimension and finite rank
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Genus-5 systole critical points yield non-basing minimal sets
Small genus, small index critical points of the systole function
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Sobolev norms recovered via non-local asymptotics without doubling
A new characterization of Sobolev spaces on Lipschitz differentiability spaces
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Bounded-degree trees embed in any normed space of dimension 64 log N / log log N
A universal threshold for geometric embeddings of trees
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Sphere-to-R^n maps require additive distortion of at least a parity-dependent formula
Distortion from spheres into Euclidean spaces
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Algebra condition equates energy BV to standard metric BV
Functions of bounded variation and Lipschitz algebras in metric measure spaces
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Exotic spherical octahedra vary in volume when flexed
Exotic spherical flexible octahedra and counterexamples to the Modified Bellows Conjecture
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Klain-Schneider theorem classifies vector valuations on convex functions
A Klain-Schneider Theorem for Vector-Valued Valuations on Convex Functions
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Five families and thirteen examples classify all 3-self-affine convex quadrangles
Self-affine quadrangles
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q-Spectrum distinguishes all metric spaces on four or fewer points
Distinguishing finite metric spaces via similarity spectra
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Čech complexes on spheres change homotopy type at infinitely many scales
Homotopy connectivity of \v{C}ech complexes of spheres
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Point cloud estimators for Minkowski tensors become asymptotically unbiased
Minkowski tensors for point clouds and voxelized data: robust, asymptotically unbiased estimators
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Lattice codes optimal among T-avoiding spherical codes
Universal optimality of $T$-avoiding spherical codes and designs
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Aligned symmetries force convex bodies to be ellipsoids in high dimensions
On Bezdek's conjecture for high-dimensional convex bodies with an aligned center of symmetry
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Gradient flows of (K,N)-convex functionals work for negative N
Gradient flows of $(K,N)$-convex functions with negative $N$
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Bedford-McMullen carpets block oblique self-embeddings
Self-embedding similitudes of Bedford-McMullen carpets with dependent ratios
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Volume doubling implies asymptotic dimension ≤ floor(log₂ C_D)
Asymptotic-Type Dimension Bounds through Combinatorial Approaches
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Unit square rotates with each line sweeping arbitrarily small area
Simultaneous rotation of infinitely many parallel line segments
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Relative transport equates measures to dual of Lipschitz functions
Relative Optimal Transport
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Stability versions quantify nearness to cube and crosspolytope
Strengthened inequalities for the mean width and the $\ell$-norm of origin symmetric convex bodies
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Explicit maps fix GH distance between S3 and S4 at 1/2 arccos(-1/4)
Some novel constructions of optimal Gromov-Hausdorff-optimal correspondences between spheres
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Generalized Seifert fiber spaces receive symbolic classification
Classification of generalized Seifert fiber spaces
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Non-congruent circular spaces share distances and often magnitude
Distinguishing regular polygons, cycle graphs, and circular metric spaces by the distance multiset and magnitude
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Weighted L^p Minkowski problem solved for all real p
The Weighted $L^p$ Minkowski Problem
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Weyl-Heisenberg SIC counts match quadratic class monoid sizes
SIC-POVMs and orders of real quadratic fields
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Euclidean comparison defines CAT(0) spaces with unique geodesics
A Gentle Introduction to CAT(0) Spaces
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Coarse embeddability equals existence of percolations with vanishing correlations
Coarse embeddability, $L^1$-compression and Percolations on General Graphs
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Limits fix structure at boundary singular points of manifolds
Limits of manifolds with boundary I
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Quasihyperbolically visible spaces equate Gromov and metric boundaries
A note on the equivalence of Gromov boundary and metric boundary
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Lipschitz functions converge when Clarke subdifferentials do
Applications of the Painlev\'e-Kuratowski convergence: Lipschitz functions with converging Clarke subdifferentials and convergence of sets defined by converging equations
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Lebedeva 6-point space meets all ANN inequalities without CAT(0) embedding
The Andoni-Naor-Neiman inequalities and isometric embeddability into a CAT(0) space
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Angle systems on plane points are rigid when motions change a fixed angle
Angular constraints on planar frameworks