Tameness of hyperbolic 3-manifolds
Geometric Topology
2007-05-23 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.math/0405568,
title = {Tameness of hyperbolic 3-manifolds},
author = {Ian Agol},
journal= {arXiv preprint arXiv:math/0405568},
year = {2007}
}
Comments
22 pages, 1 figure