α-Sasakian, β-Kenmotsu and trans-Sasakian structures on the tangent bundle

Year 2022, Volume: 71 Issue: 3, 682 - 688, 30.09.2022

Haşim Çayır , Tarana Sultanova

https://doi.org/10.31801/cfsuasmas.1010695

Abstract

This paper consists of two main sections. In the first part, we give some general information about the almost contact manifold, α−Sasakian, β−Kenmotsu and trans-Sasakian Structures on the manifolds. In the second part, these structures were expressed on the tangent bundle with the help of lifts and the most general forms were tried to be obtained.

Keywords

$\alpha$-Sasakian , $\beta$-Kenmotsu , trans-Sasakian structures , lifts , tangent bundle

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