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Proceedings of the American Mathematical Society

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Naturally reductive metrics of nonpositive Ricci curvature

Authors: Carolyn Gordon and Wolfgang Ziller
Journal: Proc. Amer. Math. Soc. 91 (1984), 287-290
MSC: Primary 53C30; Secondary 53C25
MathSciNet review: 740188
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Abstract: The main theorem states that every naturally reductive homogeneous Riemannian manifold of nonpositive Ricci curvature is symmetric. As a corollary, every noncompact naturally reductive Einstein manifold is symmetric.

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Article copyright: © Copyright 1984 American Mathematical Society

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