Journal of Differential Geometry

The Smale Conjecture for Hyperbolic 3-Manifolds: Isom (M3) ≃ Diff (M3)

David Gabai
Source: J. Differential Geom. Volume 58, Number 1 (2001), 113-149.

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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jdg/1090348284
Mathematical Reviews number (MathSciNet): MR1895350


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Journal of Differential Geometry

Journal of Differential Geometry

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