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Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space
Huang, Xiaojun1; Liu, Jinsong2,3
2017-06-01
Source PublicationMATHEMATISCHE ANNALEN
ISSN0025-5831
Volume368Issue:1-2Pages:213-231
AbstractThe aim of this paper is to study finite convex polyhedra in three dimensional hyperbolic space H-3. We characterize the quasiconformal deformation space of each finite convex polyhedron. As a corollary, we obtain some results on finite circle patterns in the Riemann sphere with dihedral angle 0 <= Theta < pi. That is, for any circle pattern on (C) over cap, its quasiconformal deformation space can be naturally identified with the product of the Teichmuller spaces of its interstices.
DOI10.1007/s00208-016-1433-y
Language英语
Funding ProjectNSFC of China[11471318]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000401698200006
PublisherSPRINGER HEIDELBERG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25515
Collection数学所
Corresponding AuthorLiu, Jinsong
Affiliation1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
2.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China
3.Chinese Acad Sci, HUA Loo Keng Key Lab Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Huang, Xiaojun,Liu, Jinsong. Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space[J]. MATHEMATISCHE ANNALEN,2017,368(1-2):213-231.
APA Huang, Xiaojun,&Liu, Jinsong.(2017).Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space.MATHEMATISCHE ANNALEN,368(1-2),213-231.
MLA Huang, Xiaojun,et al."Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space".MATHEMATISCHE ANNALEN 368.1-2(2017):213-231.
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