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Existence of homogeneous vectors on the fiber space of the tangent bundle

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Abstract

Let M = G/K be a homogeneous differentiable manifold. We consider the homogeneous bundle \( \Im \) = (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.

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Authors and Affiliations

  1. Faculty of Mathematics, Department of Pure Mathematics, Tabriz University, Tabriz, Iran

    R. Chavosh Khatamy & M. Toomanian

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  1. R. Chavosh Khatamy
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  2. M. Toomanian
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Chavosh Khatamy, R., Toomanian, M. Existence of homogeneous vectors on the fiber space of the tangent bundle. Acta Math Hung 116, 285–294 (2007). https://doi.org/10.1007/s10474-007-5046-5

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  • DOI: https://doi.org/10.1007/s10474-007-5046-5

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