Hyperbolic-parabolic deformations of rational maps

doi:10.1007/s11425-018-9426-4

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	Hyperbolic-parabolic deformations of rational maps
	Cui, Guizhen1 ; Tan, Lei 2
	2018-12-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	61 期号:12 页码:2157-2220
摘要	We develop a Thurston-like theory to characterize geometrically finite rational maps, and then apply it to study pinching and plumbing deformations of rational maps. We show that under certain conditions the pinching path converges uniformly and the quasiconformal conjugacy converges uniformly to a semi-conjugacy from the original map to the limit. Conversely, every geometrically finite rational map with parabolic points is the landing point of a pinching path for any prescribed plumbing combinatorics.
关键词	rational map geometrically finite hyperbolic parabolic
DOI	10.1007/s11425-018-9426-4
语种	英语
资助项目	National Natural Science Foundation of China[11125106]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000451716100003
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31787
专题	数学所
通讯作者	Cui, Guizhen
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Angers, LAREMA, F-49045 Angers, France
推荐引用方式 GB/T 7714	Cui, Guizhen,Tan, Lei. Hyperbolic-parabolic deformations of rational maps[J]. SCIENCE CHINA-MATHEMATICS,2018,61(12):2157-2220.
APA	Cui, Guizhen,&Tan, Lei.(2018).Hyperbolic-parabolic deformations of rational maps.SCIENCE CHINA-MATHEMATICS,61(12),2157-2220.
MLA	Cui, Guizhen,et al."Hyperbolic-parabolic deformations of rational maps".SCIENCE CHINA-MATHEMATICS 61.12(2018):2157-2220.