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

共 50 条

[1] CONVEX-BODIES
BERGER, M
RECHERCHE, 1992, 23 (246): : 992 - 1000
[2] ON REDUCED CONVEX-BODIES
DEKSTER, BV
ISRAEL JOURNAL OF MATHEMATICS, 1986, 56 (02) : 247 - 256
[3] ON COMPLETE CONVEX-BODIES
GROEMER, H
GEOMETRIAE DEDICATA, 1986, 20 (03) : 319 - 334
[4] DUALITY OF CONVEX-BODIES
MOSZYNSKA, M
ZUKOWSKI, T
GEOMETRIAE DEDICATA, 1995, 58 (02) : 161 - 173
[5] GHOST CONVEX-BODIES
VOLCIC, A
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1985, 4A (02): : 287 - 292
[6] EQUIPARTITION OF CONVEX-BODIES
SCOTT, PR
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1990, 42 (01) : 141 - 144
[7] REGULAR CONVEX-BODIES
FARRAN, HR
ROBERTSON, SA
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1994, 49 : 371 - 384
[8] APPROXIMATION OF CONVEX-BODIES BY POLYTOPES
SCHNEIDER, R
WIEACKER, JA
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1981, 13 (MAR) : 149 - 156
[9] POLAR DUALS OF CONVEX-BODIES
GHANDEHARI, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 113 (03) : 799 - 808
[10] ON SEPARATED FAMILIES OF CONVEX-BODIES
BISZTRICZKY, T
ARCHIV DER MATHEMATIK, 1990, 54 (02) : 193 - 199

← 1 2 3 4 5 →