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On the geometric and topological rigidity of hyperbolic 3-manifolds


Author: David Gabai
Journal: Bull. Amer. Math. Soc. 31 (1994), 228-232
MSC: Primary 57M50; Secondary 57N10
DOI: https://doi.org/10.1090/S0273-0979-1994-00523-3
MathSciNet review: 1261238
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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI: https://doi.org/10.1090/S0273-0979-1994-00523-3
Article copyright: © Copyright 1994 American Mathematical Society

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