On the equality conditions of the Brunn-Minkowski theorem

DOI10.1090/S0002-9939-2011-10822-0zbMath1227.52004arXiv1005.1409MaRDI QIDQ3093456

Daniel A. Klain

Publication date: 17 October 2011

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

Full work available at URL: https://arxiv.org/abs/1005.1409

zbMATH Keywords

homothetic projectionsequality conditionsBrunn-Minkowski theorem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Mixed volumes and related topics in convex geometry (52A39)

Related Items (4)

Multiplicities and Mixed Multiplicities of Filtrations ⋮ Shapes and recession cones in mixed-integer convex representability ⋮ The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators ⋮ The Minkowski equality of filtrations

Cites Work

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• Brunn-Minkowskischer Satz und Isoperimetrie
• Capacitary inequalities of the Brunn-Minkowski type
• Intersection bodies and dual mixed volumes
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Seitenrisse honvexer Körper und Homothetic
• A Brunn-Minkowski inequality for the integer lattice
• The Brunn-Minkowski inequality
• On the Measure of Sum-Sets. (I) The Theorems of Brunn, Minkowski, and Lusternik

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