Quasi-Concircular Curvature Tensor on Generalized Sasakian Space-Forms

Year 2023, , 391 - 402, 31.12.2023

Rana Pratap Singh Yadav , Bhagwat Prasad

https://doi.org/10.47000/tjmcs.1194308

Abstract

The object of the present paper is to study Quasi-concircularly flat and $\phi-$quasi-concircularly flat generalized Sasakian-space-forms. Also, we consider generalized Sasakian-space-forms satisfying the condition $P(\xi, X).\widetilde{V}=0,\ \widetilde{V}(\xi, X).P=0, \ $ and $\widetilde{V}(\xi, X).\widetilde{V}=0$ and we obtain some important results. Finally, we give an example.

Keywords

Generalized Sasakian space-froms, $\xi-$quasi-concircularly flat, $\phi-$ quasi concircularly flat, Einstein and $\eta-$Einstein manifold

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