Characterization of simplices via the Bezout inequality for mixed volumes

DOI10.1090/PROC/13149zbMath1351.52005arXiv1512.05442OpenAlexW2213168473MaRDI QIDQ2827380

Ivan Soprunov, Artem Zvavitch, Christos Saroglou

Publication date: 19 October 2016

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

Full work available at URL: https://arxiv.org/abs/1512.05442

zbMATH Keywords

mixed volumeconvex bodiesconvex polytopesAleksandrov-Fenchel inequalityBezout inequality

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Related Items (5)

Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies ⋮ Extremizers in Soprunov and Zvavitch's Bezout inequalities for mixed volumes ⋮ Weighted Brunn-Minkowski theory. I: On weighted surface area measures ⋮ Wulff shapes and a characterization of simplices via a Bezout type inequality ⋮ Bézout-Type Inequality in Convex Geometry

Cites Work

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