A classification of the torsion tensors on almost contact manifolds with B-metric (Q403167)

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scientific article; zbMATH DE number 6335851
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A classification of the torsion tensors on almost contact manifolds with B-metric
scientific article; zbMATH DE number 6335851

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    A classification of the torsion tensors on almost contact manifolds with B-metric (English)
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    29 August 2014
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    The authors state a classification of the torsion tensors of type \((0,3)\) on an almost contact manifold with a B-metric. They prove that the space of these tensors is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Also, they find characterizations of some well-known natural connections via their classification theorem.
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    almost contact manifolds
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    B-metric
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    natural connections
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