Isometries of the Hyperbolic Plane
نویسنده
چکیده
In this paper, I will explore basic properties of the group PSL(2,R). These include the relationship between isometries of H2, Möbius transformations, and matrix multiplication. In addition, this paper will explain a method of characterizing the aforementioned transformations by the trace of their matrices through looking at the number of xed points of a transformation.
منابع مشابه
Isometries of the Hyperbolic Plane
In this paper I will define the hyperbolic plane and describe and classify its isometries. I will conclude by showing how these isometries can be represented as 2× 2 matrices.
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تاریخ انتشار 2010