On the geometric and topological rigidity of hyperbolic 3-manifolds
Geometric Topology
2016-09-06 v1
Abstract
A homotopy equivalence between a hyperbolic 3-manifold and a closed irreducible 3-manifold is homotopic to a homeomorphsim provided the hyperbolic manifold satisfies a purely geometric condition. There are no known examples of hyperbolic 3-manifolds which do not satisfy this condition.
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Cite
@article{arxiv.math/9410218,
title = {On the geometric and topological rigidity of hyperbolic 3-manifolds},
author = {David Gabai},
journal= {arXiv preprint arXiv:math/9410218},
year = {2016}
}
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5 pages