#### Document Type

Article

#### Publication Date

3-1989

#### 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 x RI.

#### Recommended Citation

Norris, Douglas A., "Isometries Homotopic to the Identity" (1989). *Mathematics and Computer Science*. 4.

http://collected.jcu.edu/math_cs-facpub/4

## Comments

D. A. Norris,

Isometries Homotopic to the Identity, Proceedings of the American Mathematical Society. Vol. 105 (1989), pp. 692-696.First published in Proceedings of the American Mathematical Society in 105(3), published by the American Mathematical Society.