凸体迷向条件的等价性  

Equivalence of Isotropic Conditions for Convex Bodies

作　　者：陈巧云[1] 何斌吾[1] 

机构地区：[1]上海大学理学院

出　　处：《上海大学学报（自然科学版）》2006年第5期481-483,共3页Journal of Shanghai University:Natural Science Edition

基　　金：上海市教委基金资助项目(214667)

摘　　要：设K是Rn中体积为1,质心在原点的凸体,若K对任意轴都有相同的惯量矩,则称K为迷向体.该文给出了判定K为迷向体的4个条件的等价性证明.Assume that K is a convex body in R^n , with volume ｜ K ｜ = 1, and center of mass at the origin. If K has the same moments of inertia with respect to every axis, then K is called an isotropic body. Proofs of some equivalence conditions to define K as an isotropic body are given.

关 键 词：凸体 迷向体 迷向常数 

分 类 号：O186.5[理学—数学]