The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

On Some Mapping Properties of Möbius Transformations

Author(s):

Nihal Yilmaz Özgür

Balkesir University, Faculty of Arts and Sciences, Department of Mathematics,
10145 Balkesir,
TURKEY
nihal@balikesir.edu.tr
URL
: http://w3.balikesir.edu.tr/~nihal/

Abstract:

We consider spheres corresponding to any norm function on the complex plane and their images under the Möbius transformations. We see that the sphere preserving property is not an invariant characteristic property of Möbius transformations except in the Euclidean case.

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