The translative kissing number of the Cartesian product of two convex bodies, one of which is two-dimensional

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	The translative kissing number of the Cartesian product of two convex bodies, one of which is two-dimensional
	Zong, CM
	1997-04-01
发表期刊	GEOMETRIAE DEDICATA
ISSN	0046-5755
卷号	65 期号:2 页码:135-145
摘要	This article discusses the relation between the translative kissing numbers of convex bodies K-1, K-2 and K-1 + K-2. As an application of the main theorem, we find that the translative kissing number of B + Q, where B is a 24-dimensional ball and Q is a two-dimensional non-parallelogram convex domain, is 1375926.
关键词	translative kissing number lattice kissing number Hadwiger's covering number Minkowski-metric affine-regular hexagon
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:A1997XC02100002
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28983
专题	中国科学院数学与系统科学研究院
作者单位	CHINESE ACAD SCI,MATH INST,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Zong, CM. The translative kissing number of the Cartesian product of two convex bodies, one of which is two-dimensional[J]. GEOMETRIAE DEDICATA,1997,65(2):135-145.
APA	Zong, CM.(1997).The translative kissing number of the Cartesian product of two convex bodies, one of which is two-dimensional.GEOMETRIAE DEDICATA,65(2),135-145.
MLA	Zong, CM."The translative kissing number of the Cartesian product of two convex bodies, one of which is two-dimensional".GEOMETRIAE DEDICATA 65.2(1997):135-145.