Cone-volume measure and stability

DOI10.1016/j.aim.2016.10.005zbMath1366.52007arXiv1407.7272OpenAlexW2962893183MaRDI QIDQ728215

Károly jun. Böröczky, Martin Henk

Publication date: 19 December 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7272

zbMATH Keywords

polytopecentroidcone-volume measurelog-Minkowski problemcentro-affine inequalitiesstability of inequalitiessubspace concentration conditionU-functional

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

A Brunn-Minkowski theory for coconvex sets of finite volume, New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality, The cone volume measure of antipodal points, Necessary subspace concentration conditions for the even dual Minkowski problem, Isotropic measures and stronger forms of the reverse isoperimetric inequality, On subspace concentration for dual curvature measures, The logarithmic Minkowski inequality for non-symmetric convex bodies, Subspace concentration of mixed volume measures, \(L_{p}\) dual curvature measures, Sharp inequalities related to the functional \(U_j\) and some applications, Stable solution of the Logarithmic Minkowski problem in the case of hyperplane symmetries, Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes

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