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arXiv:1105.5715 [math.DG]AbstractReferencesReviewsResources

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

Mancho Manev, Miroslava Ivanova

Published 2011-05-28, updated 2013-04-19Version 2

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.

Comments: 17 pages, exposition clarified, references added
Journal: Cent. Eur. J. Math., vol. 12, no. 10 (2014), 1416--1432
Categories: math.DG
Subjects: 53C05, 53C15, 53C50
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