On the geometric and topological rigidity of hyperbolic 3-manifolds
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- by David Gabai PDF
- Bull. Amer. Math. Soc. 31 (1994), 228-232 Request permission
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.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- 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