A classification of the torsion tensors on almost contact manifolds with B-metric

Mathematics – Differential Geometry

Scientific paper

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16 pages

Scientific paper

The space of the torsion (0,3)-tensors of all linear connections on almost contact manifolds with B-metric is decomposed in 11 orthogonal and invariant subspaces with respect to the action of the structural group. Thus, a classification of the connections on the considered manifolds with respect to the properties of their torsion tensor is generated. Two known natural connections are characterized regarding this classification.

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