A Brunn-Minkowski theory for coconvex sets of finite volume

DOI10.1016/j.aim.2018.05.018zbMath1396.52007arXiv1706.03573OpenAlexW2963505481WikidataQ129782043 ScholiaQ129782043MaRDI QIDQ1639640

Rolf Schneider

Publication date: 13 June 2018

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

Full work available at URL: https://arxiv.org/abs/1706.03573

zbMATH Keywords

mixed volumecone-volume measurecomplemented Brunn-Minkowski inequalitysurface area measurecoconvex setMinkowski type existence theorem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (7)

Higher Lelong numbers and convex geometry ⋮ On a Brunn-Minkowski inequality for measures with quasi-convex densities ⋮ On the \(L_p\) Gaussian Minkowski problem ⋮ Pseudo-cones ⋮ The dual Minkowski problem for unbounded closed convex sets ⋮ Minkowski type theorems for convex sets in cones ⋮ Dualities and endomorphisms of pseudo-cones

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