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May, 2001 The Smale Conjecture for Hyperbolic 3-Manifolds: Isom (M3) ≃ Diff (M3)
David Gabai
J. Differential Geom. 58(1): 113-149 (May, 2001). DOI: 10.4310/jdg/1090348284

Abstract

The main result of this paper is, "If M is a closed hyperbolic 3-manifold, then the inclusion of the isometry group Isom(M) into the diffeomorphism group Diff(M) is a homotopy equivalence."

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David Gabai. "The Smale Conjecture for Hyperbolic 3-Manifolds: Isom (M3) ≃ Diff (M3)." J. Differential Geom. 58 (1) 113 - 149, May, 2001. https://doi.org/10.4310/jdg/1090348284

Information

Published: May, 2001
First available in Project Euclid: 20 July 2004

MathSciNet: MR1895350
Digital Object Identifier: 10.4310/jdg/1090348284

Rights: Copyright © 2001 Lehigh University

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Vol.58 • No. 1 • May, 2001
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