Log-concavity properties of Minkowski valuations

DOI10.1090/tran/7434zbMath1390.52024arXiv1411.7891OpenAlexW2963704803MaRDI QIDQ4635494

Manuel Weberndorfer, Lukas Parapatits, Astrid Berg, Franz E. Schuster

Publication date: 23 April 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7891

zbMATH Keywords

intrinsic volumeBrunn-Minkowski inequalityOrlicz additionMinkowski valuationgeneralized valuation

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (16)

A Hadwiger-Type Theorem for General Tensor Valuations ⋮ On Hodge-Riemann relations for translation-invariant valuations ⋮ Minkowski endomorphisms ⋮ Crofton formulas and indefinite signature ⋮ The Löwner function of a log-concave function ⋮ On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities ⋮ Lutwak-Petty projection inequalities for Minkowski valuations and their duals ⋮ Iterations of Minkowski valuations ⋮ Inequalities for general width-integrals of Blaschke-Minkowski homomorphisms ⋮ Fixed points of Minkowski valuations ⋮ The Orlicz Brunn-Minkowski inequality for the projection body ⋮ Orlicz-Brunn-Minkowski inequalities for Blaschke-Minkowski homomorphisms ⋮ Dual mixed Orlicz-Brunn-Minkowski inequality and dual Orlicz mixed quermassintegrals ⋮ Some \(\log\)-Minkowski inequalities for \(L_p\)-mixed affine surface area ⋮ Log-Minkowski inequalities for the \(L_p\)-mixed quermassintegrals ⋮ Affine vs. Euclidean isoperimetric inequalities

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