Tameness of hyperbolic 3-manifolds

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We show that hyperbolic 3-manifolds with finitely generated fundamental group are tame, that is the ends are products. We actually work in slightly greater generality with pinched negatively curved manifolds with hyperbolic cusps. This answers a conjecture of Marden and implies the Ahlfors measure conjecture. Applications are given to other questions about Kleinian groups and 3-manifolds.
22 pages, 1 figure

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Geometric Topology, Differential Geometry, 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/71377

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405568
 http://arxiv.org/abs/math/0405568

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arXiv