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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



A theorem of Ahlfors for hyperbolic spaces

Author: Su Shing Chen
Journal: Trans. Amer. Math. Soc. 242 (1978), 401-406
MSC: Primary 22E40; Secondary 30F35
MathSciNet review: 496817
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Abstract: L. Ahlfors has proved that if the Dirichlet fundamental polyhedron of a Kleinian group G in the unit ball $ {B^3}$ has finitely many sides, then the normalized Lebesgue measure of $ L(G)$ is either zero or one. We generalize this theorem and a theorem of Beardon and Maskit to the n-dimensional case.

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Keywords: Hyperbolic space, Kleinian group, limit set
Article copyright: © Copyright 1978 American Mathematical Society

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