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.
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(Submitted by M. A. Malakhaltsev)
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Abedi, H. On Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature. Lobachevskii J Math 39, 1293–1299 (2018). https://doi.org/10.1134/S1995080218090342
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DOI: https://doi.org/10.1134/S1995080218090342