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
Journal of Differential Geometry