Journal of Differential Geometry

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

David Gabai

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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."

Article information

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

Dates
First available in Project Euclid: 20 July 2004

Permanent link to this document
http://projecteuclid.org/euclid.jdg/1090348284

Mathematical Reviews number (MathSciNet)
MR1895350

Citation

Gabai, David. The Smale Conjecture for Hyperbolic 3-Manifolds: Isom ( M 3 ) ≃ Diff ( M 3 ). J. Differential Geom. 58 (2001), no. 1, 113--149. http://projecteuclid.org/euclid.jdg/1090348284.


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