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
刊名	SCIENCE CHINA-MATHEMATICS
	2018-12-01
卷号	61 期号:12 页码:2157-2220
关键词	rational map geometrically finite hyperbolic parabolic
ISSN号	1674-7283
DOI	10.1007/s11425-018-9426-4
英文摘要	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.
资助项目	National Natural Science Foundation of China[11125106]
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000451716100003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31786]
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.