A geometric inequality and a low M-estimate

被引：14

作者：

Klartag, B ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 09期

关键词：

Asymptotic geometric analysis; diameters of sections;

D O I：

10.1090/S0002-9939-04-07484-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an integral inequality connecting volumes and diameters of sections of a convex body. We apply this inequality to obtain some new inequalities concerning diameters of sections of convex bodies, among which is our "low M-estimate". Also, we give novel, alternative proofs to some known results, such as the fact that a finite volume ratio body has proportional sections that are isomorphic to a Euclidean ball.

引用

页码：2619 / 2628

页数：10

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