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On the geometric and topological rigidity of hyperbolic 3-manifolds

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.

preprint1994arXivOpen access
David Gabai
math.GT
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David Gabai

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