Almost contact B-metric manifolds with curvature tensors of Kähler type

Details Almost contact B-metric manifolds with curvature tensors of Kähler type Almost contact B-metric manifolds with curvature tensors of Kähler type

2012-03-15

arxiv.org/abs/1203.3290v1

Mathematics

Differential Geometry

12 pages

Scientific paper

On 5-dimensional almost contact B-metric manifolds, the form of any K\"ahler-type tensor (i.e. a tensor satisfying the properties of the curvature tensor of the Levi-Civita connection in the special class of the parallel structures on the manifold) is determined. The associated 1-forms are derived by the scalar curvatures of the K\"ahler-type tensor for the canonical connection on the manifolds from the main classes with closed 1-forms.

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