Some Results on Almost Contact Manifolds with B-Metric

Year 2025, Volume: 6 Issue: 1, 81 - 92, 31.01.2025

Nilüfer Özdemir , Elanur Eren

https://doi.org/10.54974/fcmathsci.1581680

https://izlik.org/JA34KR48KX

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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