CSpace  > 数学所
How many cages midscribe an egg
Liu, Jinsong1,2; Zhou, Ze1,2
2016-02-01
Source PublicationINVENTIONES MATHEMATICAE
ISSN0020-9910
Volume203Issue:2Pages:655-673
AbstractThe 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.
DOI10.1007/s00222-015-0602-z
Language英语
Funding ProjectNSFC of China[11471318]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000369255200006
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21910
Collection数学所
Corresponding AuthorLiu, Jinsong
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, Jinsong]'s Articles
[Zhou, Ze]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, Jinsong]'s Articles
[Zhou, Ze]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, Jinsong]'s Articles
[Zhou, Ze]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.