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Existence of homogeneous vectors on the fiber space of the tangent bundle |
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| Authors: | R. Chavosh Khatamy M. Toomanian |
| Affiliation: | (1) Faculty of Mathematics, Department of Pure Mathematics, Tabriz University, Tabriz, Iran |
| Abstract: | Let M = G/K be a homogeneous differentiable manifold. We consider the homogeneous bundle  = (G, π, G/K, K) and the tangent bundle τ G/K of M = G/K, and give some results about the existence of homogeneous vectors on the fiber space of τ G/K, for both cases of G semisimple and weakly semisimple. |
| Keywords: | associated bundle homogeneous manifold weakly semisimple Lie group weakly semisimple Lie algebra homogeneous vector |
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