吉林大学学报（理学版）2016，Vol.54Issue(5)：959-962,4.DOI:10.13413/j.cnki.jdxblxb.2016.05.06
单位圆盘与上半平面上全纯自同构的拓扑共轭分类
Topologically Conjugate Classifications for Holomorphic Automorphisms on Unit Disk and Upper Half Plane
常伟 1侯秉喆1
作者信息
- 1. 吉林大学 数学研究所，长春 130012
- 折叠
摘要
Abstract
The topologically conjugate classifications for holomorphic automorphisms on unit disk and upper half plane were considered.By rotation theory and some constructions of homeomorphisms,we prove that all holomorphic automorphisms on upper half plane without fixed points are topologically conjugate;two holomorphic automorphisms f and g with fixed points are topologically conjugate if and only if ρ(f )= ±ρ(g ),mod ℤ;a holomorphic automorphisms without fixed points and a holomorphic automorphisms with fixed points on upper half plane are not topologically conjugate.关键词
拓扑共轭/全纯自同构/单位圆盘/上半平面/同胚Key words
topological conjugacy/holomorphic automorphism/unit disk/upper half plane/homeomorphism分类
数理科学引用本文复制引用
常伟,侯秉喆..单位圆盘与上半平面上全纯自同构的拓扑共轭分类[J].吉林大学学报（理学版）,2016,54(5):959-962,4.
