The Illumination Conjecture for Spindle Convex Bodies

被引：1

作者：

Bezdek, Karoly ^{[1
,2
,3
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Univ Pannonia, Dept Math, H-8200 Veszprem, Hungary

[3] Eotvos Lorand Univ, Inst Math, H-1117 Budapest, Hungary

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2011年 / 275卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

CONSTANT WIDTH; HYPERBOLIC SPACES;

D O I：

10.1134/S0081543811080116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subset of the d-dimensional Euclidean space having nonempty interior is called a spindle convex body if it is the intersection of (finitely or infinitely many) congruent d-dimensional closed balls. A spindle convex body is called a "fat" one if it contains the centers of its generating balls. The main result of this paper is a proof of the illumination conjecture for "fat" spindle convex bodies in dimensions greater than or equal to 15.

引用

页码：169 / 176

页数：8

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