Email this article On Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature
- Authors: Abedi H.1
-
Affiliations:
- Group of Mathematics, School of Sciences
- Issue: Vol 39, No 9 (2018)
- Pages: 1293-1299
- Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203232
- DOI: https://doi.org/10.1134/S1995080218090342
- ID: 203232
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Abstract
We study a cohomogeneity two Riemannian G-manifold M of non-positive curvature. Considering the acting group G, we obtain some facts about the structure of such manifolds and their orbits. Moreover in some cases, the existence of the G-invariant metrics with non-positive (or negative) curvature on M is proved.
About the authors
H. Abedi
Group of Mathematics, School of Sciences
Author for correspondence.
Email: h.abedi@basu.ac.ir
Iran, Islamic Republic of, Hamedan
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