Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space | |
Huang, Xiaojun1; Liu, Jinsong2,3 | |
2017-06-01 | |
发表期刊 | MATHEMATISCHE ANNALEN |
ISSN | 0025-5831 |
卷号 | 368期号:1-2页码:213-231 |
摘要 | The 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. |
DOI | 10.1007/s00208-016-1433-y |
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:000401698200006 |
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/25515 |
专题 | 数学所 |
通讯作者 | Liu, Jinsong |
作者单位 | 1.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 |
推荐引用方式 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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