The Smale Conjecture for hyperbolic 3-manifolds: Isom(M3) "\simeq" Diff(M3)
David Gabai
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."