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	Functionals on the Spaces of Convex Bodies
	Zong, Chuanming
	2016
关键词	Packing density covering density kissing number Hadwiger&apos SIMULTANEOUS PACKING PLANE s conjecture
英文摘要	In geometry, there are several challenging problems studying numbers associated to convex bodies. For example, the packing density problem, the kissing number problem, the covering density problem, the packing-covering constant problem, Hadwiger's covering conjecture and Borsuk's partition conjecture. They are fundamental and fascinating problems about the same objects. However, up to now, both the methodology and the technique applied to them are essentially different. Therefore, a common foundation for them has been much expected. By treating problems of these types as functionals defined on the spaces of n-dimensional convex bodies, this paper tries to create such a foundation. In particular, supderivatives for these functionals will be studied.; Supported by 973 Programs,the National Science Foundation of China,the Chang Jiang Scholars Program of China; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); ARTICLE; cmzong@math.pku.edu.cn; 1; 124-136; 32
语种	英语
出处	CSCD ; SCI ; 万方 ; 知网 ; http://d.g.wanfangdata.com.cn/Periodical_sxxb-e201601010.aspx
出版者	ACTA MATHEMATICA SINICA-ENGLISH SERIES
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/439034]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zong, Chuanming. Functionals on the Spaces of Convex Bodies. 2016-01-01.

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