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How many cages midscribe an egg
Liu, Jinsong1,2; Zhou, Ze1,2
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.
Funding ProjectNSFC of China[11471318]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000369255200006
Citation statistics
Document Type期刊论文
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.
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