Kotrbatý's theorem on valuations and geometric inequalities for convex bodies

DOI10.1007/s11856-021-2269-zzbMath1497.52011arXiv2010.01859OpenAlexW4200075250MaRDI QIDQ2143238

Semyon Alesker

Publication date: 31 May 2022

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01859

zbMATH Keywords

inequalitiesvaluationsconvex bodiestranslation invarianceAlesker productHodge-Riemann relationsBernig-Fu convolution

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items (4)

On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies ⋮ Characterisation of valuations and curvature measures in euclidean spaces

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