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Lecture Notes of Möbuis Transformation in Hyperbolic Plane
Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt
- 1 Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt
Applied Mathematics·Volume 05 (2014)·Pages 2216–2225·Published 5 August 2014·DOI10.4236/am.2014.515215
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Abstract
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.
KeywordsThe Upper Half-Plane ModelMöbius TransformationHyperbolic DistanceFixed PointsThe Group PSL (2R)
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