A note on Petty's theorem

DOI10.2996/KMJ/1414674610zbMath1314.52003OpenAlexW2005643851MaRDI QIDQ487279

Guido De Philippis, Michele Marini

Publication date: 19 January 2015

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1414674610

zbMATH Keywords

Monge-Ampère equationellipsoidconvex bodiesBlaschke-Santaló inequalityaffine isoperimetric inequalityaffine inequalitiesgeominimal surface area inequalityPetty's theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Inequalities and extremum problems involving convexity in convex geometry (52A40) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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