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Diophantine approximation in Kleinian groups†

Published online by Cambridge University Press:  24 October 2008

Bernd Stratmann
Bernd Stratmann
Affiliation:
Mathematisches Institut der Universität Göttingen, SFB 170, Bunsenstr. 3–5, 37073 Göttingen, Germany
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Abstract

The δ-homogeneity of the Patterson measure is used for a closer study of the limit sets of Kleinian groups. A combination of the properties of this measure with concepts of diophantine approximations is shown to lead to a more detailed understanding of these limit sets. In particular, it is seen to how great an extent the studies of these sets, in terms of Hausdorff measure or Hausdorff dimension, are limited in a natural way.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 116 , Issue 1 , July 1994 , pp. 57 - 78
Copyright
Copyright © Cambridge Philosophical Society 1994

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