R CHAVOSH KHATAMI
M TOOMANIAN - Department of Methematics, Islamic Azad University, (Tabriz Branch), Tabriz, Iran AND Department of Methematics, Islamic Azad University, (Karaj Branch), Karaj, Iran

In this paper we consider to the associated bundle ξ = (G*K'/K, ρξ, G/K, ??ℨ/K) and the tangent bundle TG/K= (TG/K, ???G/K,Rm) of special examples of n-dimension solvable Lie groups equipped with left invariant Remannian matric, and we are goin to prove some conditions about the existence of homogeneous (geodesic) vectors on the fiber space of ξ and TG/K.

Associated bundles, homogeneous manifold, solvable Lie group, solvable Lie algebra, geodesic vectors