Curvature properties on some classes of almost contact manifolds with B-metric

Abstract

Almost contact manifolds with B-metric are considered. Of special interest are the so-called vertical classes of the almost contact B-metric manifolds. Curvature properties of these manifolds are studied. An example of 5-dimensional manifolds is constructed and characterized.

8 pages

Cited by in corpus (5)

• Lie groups as 3-dimensional almost contact B-metric manifolds
• A natural connection on some classes of almost contact manifolds with B-metric
• 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
• On some Lie groups as 5-dimensional almost contact B-metric manifolds with three natural connections