How many cages midscribe an egg

doi:10.1007/s00222-015-0602-z

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	How many cages midscribe an egg
	Liu, Jinsong1,2 ; Zhou, Ze 1,2
	2016-02-01
发表期刊	INVENTIONES MATHEMATICAE
ISSN	0020-9910
卷号	203 期号:2 页码:655-673
摘要	The midscribability theorem, which was first proved by O. Schramm, states that: given a smooth strictly convex body and a convex polyhedron , there exists a convex polyhedron combinatorially equivalent to which midscribes . Here the word "midscribe" means that all its edges are tangent to the boundary surface of . By using the intersection number technique, together with the Teichmuller theory of packings, this paper provides an alternative approach to this theorem. Furthermore, by combining Schramm's method with the above ones, we obtain a rigidity result as well. That is, such a polyhedron is unique under the normalization condition.
DOI	10.1007/s00222-015-0602-z
语种	英语
资助项目	NSFC of China[11471318]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000369255200006
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21910
专题	数学所
通讯作者	Liu, Jinsong
作者单位	1.Chinese Acad Sci, HUA Loo Keng Key Lab Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Jinsong,Zhou, Ze. How many cages midscribe an egg[J]. INVENTIONES MATHEMATICAE,2016,203(2):655-673.
APA	Liu, Jinsong,&Zhou, Ze.(2016).How many cages midscribe an egg.INVENTIONES MATHEMATICAE,203(2),655-673.
MLA	Liu, Jinsong,et al."How many cages midscribe an egg".INVENTIONES MATHEMATICAE 203.2(2016):655-673.