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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Isometries homotopic to the identity


Author: Douglas A. Norris
Journal: Proc. Amer. Math. Soc. 105 (1989), 692-696
MSC: Primary 53C20
DOI: https://doi.org/10.1090/S0002-9939-1989-0931744-6
MathSciNet review: 931744
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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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DOI: https://doi.org/10.1090/S0002-9939-1989-0931744-6
Article copyright: © Copyright 1989 American Mathematical Society

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