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

Mancho Manev; Miroslava Ivanova — 2014

Open Mathematics

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.

On $4 n$ -dimensional Lie groups as quasi-Kähler manifolds with Killing Norden metric.

Mekerov, Dimitar; Manev, Mancho — 2008

Novi Sad Journal of Mathematics

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

On 4 n -dimensional Lie groups as quasi-Kähler manifolds with Killing Norden metric.

On $4 n$ -dimensional Lie groups as quasi-Kähler manifolds with Killing Norden metric.