On the Aleksandrov-Fenchel inequality for convex bodies. I

DOI10.1007/BF03322465zbMath0705.52011MaRDI QIDQ917921

Rolf Schneider

Publication date: 1990

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

zbMATH Keywords

support functionsMinkowski additionmixed volumesinner parallel setszonoids

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (5)

The extremals of Minkowski's quadratic inequality ⋮ Reverse Alexandrov–Fenchel inequalities for zonoids ⋮ Bodies with similar projections ⋮ On the Aleksandrov--Fenchel inequality and the stability of the sphere ⋮ A stability estimate for the Aleksandrov-Fenchel inequality, with an application to mean curvature

Cites Work

• On the Aleksandrov-Fenchel inequality involving zonoids
• On the equality case in Alexandrov-Fenchel's inequality for convex bodies
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