SHADOWS OF CONVEX-BODIES

被引：97

作者：

BALL, K ^{[1
]}

机构：

[1] TEXAS A&M UNIV SYST,DEPT MATH,COLLEGE STN,TX 77843

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 327卷 / 02期

关键词：

D O I：

10.2307/2001829

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that if C is a convex body in R(n) then C has an affine image approximately C (of nonzero volume) so that if P is any 1-codimensional orthogonal projection, \P approximately C\ greater-than-or-equal-to \approximately C\(n-1)/n. It is also shown that there is a pathological body, K, all of whose orthogonal projections have volume about square-root n times as large as \K\(n-1)/n.

引用

页码：891 / 901

页数：11

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