Volume 26 • Number 2 • 2003
 
Homogeneous Metrical Structures on Manifold
Adrian Sandovici and Victor Blanuta
Abstract. On the geometrical model determined by the second order prolongation of a Riemannian space, we introduce for the
first time the homogeneous Sasaki lift notion. We define almost homogeneous structures on the fibred of second order
acceleration and study the normal conditions of the mentioned structures. Finally we determine a class of distinguished
connections compatible with metrical homogeneous structure.

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