On the geometric and topological rigidity of hyperbolic 3-manifolds
arXiv:math/9410218
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.
arXiv comment5 pages