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.
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页码：891 / 901
页数：11
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