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Tameness of hyperbolic 3-manifolds

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arxiv math/0405568 v1 pith:FJK7PBPF submitted 2004-05-29 math.GT math.DG

classification math.GTmath.DG
keywords manifoldshyperbolicconjectureactuallyahlforsanswersapplicationscurved
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 191 citations worldwide. Full citation record

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