Shrinkwrapping and the taming of hyperbolic 3-manifolds
Geometric Topology
2007-05-23 v3 Differential Geometry
Abstract
We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental group is geometrically and topologically tame.
Keywords
Cite
@article{arxiv.math/0407161,
title = {Shrinkwrapping and the taming of hyperbolic 3-manifolds},
author = {Danny Calegari and David Gabai},
journal= {arXiv preprint arXiv:math/0407161},
year = {2007}
}
Comments
60 pages, 7 figures; V3: incorporates referee's suggestions, references updated