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arXiv · 1105.5715

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

Mancho Manev·Miroslava Ivanova
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Abstract

The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.

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Mancho Manev, Miroslava Ivanova. 2011-05-28. A classification of the torsion tensors on almost contact manifolds with B-metric. https://doi.org/10.2478/s11533-014-0422-1

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