Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure

Abstract

There are introduced and studied a pair of associated Schouten-van Kampen affine connections adapted to the contact distribution and an almost contact B-metric structure generated by the pair of associated B-metrics and their Levi-Civita connections. By means of the constructed non-symmetric connections, the basic classes of almost contact B-metric manifolds are characterized. Curvature properties of the considered connections are obtained.

12 pages

References in corpus (2)

• The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure
• On canonical-type connections on almost contact complex Riemannian manifolds

Cited by in corpus (2)

• On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type
• Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure