TITLE:
Lecture Notes of Möbuis Transformation in Hyperbolic Plane
AUTHORS:
Rania B. M. Amer
KEYWORDS:
The Upper Half-Plane Model, Möbius Transformation, Hyperbolic Distance, Fixed Points, The Group PSL (2, R)
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.15,
August
5,
2014
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.