On asymmetry of some convex bodies

被引：12

作者：

Guo, Q ^{[1
]}

Kaijser, S ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2002年 / 27卷 / 02期

关键词：

Key words. Measures of asymmetry, Convex bodies;

D O I：

10.1007/s00454-001-0059-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We determine Minkowski's measure of asymmetry for convex hulls of a point and some sets for which the asymmetry is known. Some properties of the asymmetry measure are found which may indicate some interesting properties of convex bodies.

引用

页码：239 / 247

页数：9

共 50 条

[1] On asymmetry of some convex bodies
Qi Guo
Sten Kaijser
Discrete & Computational Geometry, 2002, 27 : 239 - 247
[2] ASYMMETRY CLASSES OF CONVEX BODIES
SCHNEIDER, R
MATHEMATIKA, 1974, 21 (41) : 12 - 18
[3] ON A MEASURE OF ASYMMETRY OF CONVEX BODIES
ASPLUND, E
GRUNBAUM, B
GROSSWALD, E
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1962, 58 (APR): : 217 - &
[4] Asymmetry of Convex Bodies of Constant Width
HaiLin Jin
Qi Guo
Discrete & Computational Geometry, 2012, 47 : 415 - 423
[5] THE MEASURES OF ASYMMETRY FOR COPRODUCTS OF CONVEX BODIES
Guo, Qi
Guo, Jinfeng
Su, Xunli
PACIFIC JOURNAL OF MATHEMATICS, 2015, 276 (02) : 401 - 418
[6] Asymmetry of Convex Bodies of Constant Width
Jin, HaiLin
Guo, Qi
DISCRETE & COMPUTATIONAL GEOMETRY, 2012, 47 (02) : 415 - 423
[7] Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
Gluskin, E. D.
Litvak, A. E.
DISCRETE & COMPUTATIONAL GEOMETRY, 2008, 40 (04) : 528 - 536
[8] Asymmetry of Convex Polytopes and Vertex Index of Symmetric Convex Bodies
E. D. Gluskin
A. E. Litvak
Discrete & Computational Geometry, 2008, 40 : 528 - 536
[9] On p-measures of asymmetry for convex bodies
Guo, Qi
ADVANCES IN GEOMETRY, 2012, 12 (02) : 287 - 301
[10] Stability of the Minkowski measure of asymmetry for convex bodies
Guo, Q
DISCRETE & COMPUTATIONAL GEOMETRY, 2005, 34 (02) : 351 - 362

← 1 2 3 4 5 →