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Isometry Groups of Manifolds of Negative Curvature

1976
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Proceedings of the American Mathematical Society
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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. Introduction. A number of recent papers have related the geometry of manifolds of negative curvature to the algebra of various groups of isometries (for example [4], [8]). In this paper we study various

doi:10.2307/2040801
fatcat:musfi7qhmnahnn4xreu6uzxzb4