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.
@article{bwmeta1.element.doi-10_2478_s11533-014-0422-1,
author = {Mancho Manev and Miroslava Ivanova},
title = {A classification of the torsion tensors on almost contact manifolds with B-metric},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1416-1432},
zbl = {1310.53069},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0422-1}
}
Mancho Manev; Miroslava Ivanova. A classification of the torsion tensors on almost contact manifolds with B-metric. Open Mathematics, Tome 12 (2014) pp. 1416-1432. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0422-1/
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