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A classification of the torsion tensors on almost contact manifolds with B-metric (1105.5715v2)

Published 28 May 2011 in math.DG

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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