Tameness of hyperbolic 3-manifolds

Details Tameness of hyperbolic 3-manifolds Tameness of hyperbolic 3-manifolds

2004-05-29

arxiv.org/abs/math/0405568v1

Mathematics

Geometric Topology

22 pages, 1 figure

Scientific paper

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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