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

David Gabai

doi:10.4310/jdg/1090348284

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

David Gabai

Mathematics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.”

Original language	English (US)
Pages (from-to)	113-149
Number of pages	37
Journal	Journal of Differential Geometry
Volume	58
Issue number	1
DOIs	https://doi.org/10.4310/jdg/1090348284
State	Published - 2001

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Geometry and Topology

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10.4310/jdg/1090348284

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

Abstract

All Science Journal Classification (ASJC) codes

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