On some Lie groups as 5-dimensional almost contact B-metric manifolds with three natural connections

Abstract

Almost contact manifolds with B-metric are considered. There are studied three natural connections (i.e. linear connections preserving the structure tensors) determined by conditions for their torsions. These connections are investigated on a family of Lie groups considered as 5-dimensional almost contact B-metric manifolds.

arXiv comment11 pages

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