Quasi-Concircular Curvature Tensor on Generalized Sasakian Space-Forms

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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