A natural connection on some classes of almost contact manifolds with B-metric

Abstract

Almost contact manifolds with B-metric are considered. A special linear connection is introduced, which preserves the almost contact B-metric structure on these manifolds. This connection is investigated on some classes of the considered manifolds.

8 pages

References in corpus (2)

• A classification of the torsion tensors on almost contact manifolds with B-metric
• Curvature properties on some classes of almost contact manifolds with B-metric

Cited by in corpus (9)

• A classification of the torsion tensors on almost contact manifolds with B-metric
• On canonical-type connections on almost contact complex Riemannian manifolds
• Pair of associated Schouten-van Kampen connections adapted to an almost contact B-metric structure
• On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type
• Almost contact B-metric manifolds with curvature tensors of Kähler type
• On some Lie groups as 5-dimensional almost contact B-metric manifolds with three natural connections
• Natural connections with torsion expressed by the metric tensors on almost contact manifolds with B-metric
• Lie groups as 3-dimensional almost contact B-metric manifolds in two main classes
• Lie groups as 3-dimensional almost contact B-metric manifolds in the main vertical classes