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On Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature

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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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