On the circular hull property in normed planes

被引:0
|
作者
H. Martini
M. Spirova
机构
[1] TU Chemnitz,Fakultät für Mathematik
来源
Acta Mathematica Hungarica | 2009年 / 125卷
关键词
affine chord; body of constant (Minkowskian) width; circular hull property; (weak) circular intersection property; diametrical chord; Minkowski plane; normed plane; 46B20; 52A10; 52A21;
D O I
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中图分类号
学科分类号
摘要
We extend the notion of circular hull to arbitrary normed planes and prove that a compact, convex set of constant Minkowskian width has the circular hull property in such a plane. Also we show how this property is related to the so called weak circular intersection property.
引用
收藏
页码:275 / 285
页数:10
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