Homogeneous
Metrical Structures on
Manifold
Adrian Sandovici and Victor Blanuta
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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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