Abstract
The paper considers the associated bundle ξ = (G × KG/K, ρ ξ , G/K, G/K) and the tangent bundle τ G/K = (T G/K , π G/K , G/K, R m), and gives special examples of odd dimensional solvable Lie groups equipped with left invariant Riemannian metric. Some conditions about existence of homogeneous geodesic vectors on the fiber space of ξ and τ G/K are proved.
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Original Russian Text © R.Ch.Khatamy, 2010, published in Izvestiya NAN Armenii. Matematika, 2010, No. 1, pp. 79–86.
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Chavosh Khatamy, R. Examples of homogeneous vectors on the fiber space of the associated and the tangent bundles. J. Contemp. Mathemat. Anal. 45, 60–65 (2010). https://doi.org/10.3103/S1068362310010073
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DOI: https://doi.org/10.3103/S1068362310010073