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.
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页码：169 / 176
页数：8
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