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Conformal Geometry and Dynamics
Conformal Geometry and Dynamics
ISSN 1088-4173

 

Conformal automorphisms of countably connected regions


Author: Ian Short
Journal: Conform. Geom. Dyn. 17 (2013), 1-5
MSC (2010): Primary 30C20, 30C35; Secondary 30F35, 30F45
Published electronically: January 9, 2013
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Abstract: We prove that the conformal automorphism group of a countably connected circular region of connectivity at least three is either a Fuchsian group or a discrete elementary group of Möbius transformations.


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Additional Information

Ian Short
Affiliation: Department of Mathematics and Statistics, The Open University, Milton Keynes MK7 6AA, United Kingdom

DOI: http://dx.doi.org/10.1090/S1088-4173-2013-00253-1
PII: S 1088-4173(2013)00253-1
Keywords: Circular region, conformal automorphism, discrete, Fuchsian group, Möbius transformation
Received by editor(s): July 25, 2012
Published electronically: January 9, 2013
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.