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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: 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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Keywords: Riemannian manifold, negative curvature, isometry group
Article copyright: © Copyright 1976 American Mathematical Society