Naturally reductive metrics of nonpositive Ricci curvature

Gordon, Carolyn; Ziller, Wolfgang

doi:10.1090/S0002-9939-1984-0740188-7

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
DOI: https://doi.org/10.1090/S0002-9939-1984-0740188-7
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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