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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Isometry groups of manifolds of negative curvature


Author: W. Byers
Journal: Proc. Amer. Math. Soc. 54 (1976), 281-285
MathSciNet review: 0390960
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Abstract | References | Additional Information

Abstract: Solvable subgroups of the isometry groups of a simply-connected manifold of negative curvature are characterized and this characterization is used to show that the isometry group of the universal Riemannian covering of a compact manifold of negative curvature is either discrete or semisimple.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0390960-6
PII: S 0002-9939(1976)0390960-6
Keywords: Riemannian manifold, negative curvature, isometry group
Article copyright: © Copyright 1976 American Mathematical Society