hyperbolicparabolicdeformationsofrationalmaps | |
Cui Guizhen1; Tan Lei2 | |
2018 | |
发表期刊 | sciencechinamathematics |
ISSN | 1674-7283 |
卷号 | 61期号:12页码:2157 |
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. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/48055 |
专题 | 数学所 |
作者单位 | 1.中国科学院数学与系统科学研究院 2.LAREMA, Universite d’Angers |
推荐引用方式 GB/T 7714 | Cui Guizhen,Tan Lei. hyperbolicparabolicdeformationsofrationalmaps[J]. sciencechinamathematics,2018,61(12):2157. |
APA | Cui Guizhen,&Tan Lei.(2018).hyperbolicparabolicdeformationsofrationalmaps.sciencechinamathematics,61(12),2157. |
MLA | Cui Guizhen,et al."hyperbolicparabolicdeformationsofrationalmaps".sciencechinamathematics 61.12(2018):2157. |
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