Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space

doi:10.1007/s00208-016-1433-y

CSpace > 数学所

	Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space
	Huang, Xiaojun 1; 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.