Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric

Details Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric

2010-01-21

arxiv.org/abs/1001.3800v3

Mathematics

Differential Geometry

17 pages

Scientific paper

A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exists, is determined. Some curvature properties for this connection, when the corresponding curvature tensor has the properties of the curvature tensor for the Levi-Civita connection and the torsion tensor is parallel, are obtained.

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