Lecture Notes of Mobuis Transformation in Hyperbolic Plane  

作　　者：Rania B.M.Amer 

机构地区：[1]Department of Engineering Mathematics and Physics,Faculty of Engineering,Zagazig University,Zagazig,Egypt

出　　处：《Applied Mathematics》2014年第15期2216-2225,共10页应用数学（英文）

摘　　要：In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invariant points. Moreover, we can see that M?bius transformation is hyperbolic isometries that form a group action PSL (2, R) on the upper half plane model.In this paper, I have provided a brief introduction on M?bius transformation and explored some basic properties of this kind of transformation. For instance, M?bius transformation is classified according to the invariant points. Moreover, we can see that M?bius transformation is hyperbolic isometries that form a group action PSL (2, R) on the upper half plane model.

关 键 词：The Upper Half-Plane Model Mobius Transformation Hyperbolic Distance Fixed Points The Group PSL(2 R) 

分 类 号：O1[理学—数学]