The smale conjecture for hyperbolic 3-manifolds: Isom (M3) ≃ diff (M3)

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.” © 2001 Applied Probability Trust.