Naturally reductive metrics of nonpositive Ricci curvature
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- by Carolyn Gordon and Wolfgang Ziller PDF
- Proc. Amer. Math. Soc. 91 (1984), 287-290 Request permission
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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- 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