GL(n) CONTRAVARIANT MINKOWSKI VALUATIONS

被引：0
|
作者：
Schuster, Franz E. [1 ]
Wannerer, Thomas [1 ]
机构：
[1] Vienna Univ Technol, Inst Discrete Math & Geometry, A-1040 Vienna, Austria
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 02期
基金：
奥地利科学基金会;
关键词：
INVARIANT VALUATIONS; CONVEX; BODIES; ENDOMORPHISMS; INEQUALITIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A complete classification of all continuous GL(n) contravariant Minkowski valuations is established. As an application we present a family of sharp isoperimetric inequalities for such valuations which generalize the classical Petty projection inequality.
引用
收藏
页码：815 / 826
页数：12
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