A lower bound for the translative kissing numbers of simplices

被引：4
|
作者：
Talata, I
机构：
[1] Auburn Univ, Dept Math, Auburn, AL 36849 USA
[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
COMBINATORICA | 2000年 / 20卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1007/s004930070026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The translative kissing number H(K) of a d-dimensional convex body K is the maximum number of mutually non;overlapping translates of K that can be arranged so that all touch K. In this paper we show that H(S-d) greater than or equal to 1.13488((1-o(1))d) holds for any d-dimensional simplex S-d (d greater than or equal to 1). We also prove similar inequalities for some, more general classes of convex bodies.
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页码：281 / 293
页数：13
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