Lecture Notes of Möbuis Transformation in Hyperbolic Plane - Applied Mathematics

AM > Vol.5 No.15, August 2014

Lecture Notes of Möbuis Transformation in Hyperbolic Plane ()

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DOI: 10.4236/am.2014.515215 10,468 Downloads 14,581 Views Citations

Author(s)

Rania B. M. Amer

Affiliation(s)

Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig, Egypt.

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.

KEYWORDS

The Upper Half-Plane Model, Möbius Transformation, Hyperbolic Distance, Fixed Points, The Group PSL (2, R)

Share and Cite:

Amer, R. (2014) Lecture Notes of Möbuis Transformation in Hyperbolic Plane. Applied Mathematics, 5, 2216-2225. doi: 10.4236/am.2014.515215.

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