Some Results on Almost Contact Manifolds with B-Metric

Abstract

In this work, almost contact B-metric manifolds and almost complex manifolds with Norden metric are considered. Almost complex manifolds with a Norden metric are obtained by the product of almost contact B-metric manifolds with R, where almost complex structure and metric on the product manifold depend on two functions of R. The relations between two classes of almost contact manifolds with B-metric (the classes F_4 and F_5 ) and classes of almost complex manifolds with a Norden metric are investigated.

Keywords

• Almost complex manifold with a Norden metric
• almost contact manifold
• almost contact manifold with B-metric

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