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Cohomogeneity one Riemannian manifolds of non-positive curvature |
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| Authors: | H. Abedi D.V. Alekseevsky |
| Affiliation: | a School of Sciences, Tarbiat Modarres University, PO Box 14115-175 Tehran, Iran b Research Institute for fundamental sciences, Tabriz, Iran11Address of financially support. c Department of Mathematics, University of Hull, Hull HU6 7RX, UK |
| Abstract: | We study a G-manifold M which admits a G-invariant Riemannian metric g of non-positive curvature. We describe all such Riemannian G-manifolds (M,g) of non-positive curvature with a semisimple Lie group G which acts on M regularly and classify cohomogeneity one G-manifolds M of a semisimple Lie group G which admit an invariant metric of non-positive curvature. Some results on non-existence of invariant metric of negative curvature on cohomogeneity one G-manifolds of a semisimple Lie group G are given. |
| Keywords: | 53C30 57S25 |
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