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Hausdorff dimension of the limit set on a visibility manifold

Published online by Cambridge University Press:  17 April 2009

Hyun Jung Kim
Hyun Jung Kim
Affiliation:
Department of Mathematics, Hoseo University, Baebang Mynn, Asan 337–795, Korea, e-mail: hjkim @math.hoseo.ac.kr
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Abstract

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In this paper, for a given Fuchsian group Γ, we prove an upper estimate for the Hausdorff dimension of the radial limit set in the visibility manifold. Further, if Γ is a convex cocompact group, we find the exact Hausdroff dimension of the limit set.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 2 , April 2002 , pp. 199 - 209
Copyright
Copyright © Australian Mathematical Society 2002

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