A note on Petty's theorem

Kodai Mathematical Journal

Guido de Philippis¹  Michele Marini² 

[1] Institut für Mathematik Universität Zürich;Scuola Normale Superiore

关键词: Convex bodies;    affine inequalities;    Monge-Ampère;   

DOI  :  10.2996/kmj/1414674610

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(21)In this short note we show how, by exploiting the regularity theory for solutions to the Monge-Ampère equation, Petty's equation characterizes ellipsoids without assuming any a priori regularity assumption.

【 授权许可】

Unknown