Stability theorems for two measures of symmetry

被引：13

作者：

Groemer, H ^{[1
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2000年 / 24卷 / 2-3期

关键词：

Convex Body; Stability Estimate; Central Symmetry; Stability Theorem; Asymmetric Convex;

D O I：

10.1007/s004540010037

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This article concerns two measures of central symmetry that characterize cones as the most asymmetric convex bodies. Stability estimates are established that provide information on the deviation of a convex body from a cone if the corresponding measure of symmetry is close to its maximum value.

引用

页码：301 / 311

页数：11