Isometries homotopic to the identity

Norris, Douglas A.

doi:10.1090/S0002-9939-1989-0931744-6

Isometries homotopic to the identity
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by Douglas A. Norris PDF

Proc. Amer. Math. Soc. 105 (1989), 692-696 Request permission

Abstract:

The types of surfaces which admit nontrivial isometries homotopic to the identity are classified up to diffeomorphism. In dimension three this is done for complete manifolds of constant negative curvature. Three-dimensional visibility manifolds that admit nontrivial isometries homotopic to the identity are shown to be diffeomorphic to a product $L \times {R^1}$.

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