On Conharmonically Flatness of Lorentzian a-Sasakian Manifolds

Abstract

Conharmonically flatness of Lorentzian $\alpha$-Sasakian manifolds is characterized and some structure theorems are discussed. In this manner, conharmonically flat, $\varphi$-conharmonically flat, $\xi$-conharmonically flat and quasi-conharmonically flat Lorentzian $\alpha$-Sasakian manifolds are investigated.

Keywords

• Conharmonic curvature tensor,conharmonically flatness,$\varphi$-conharmonically flatness,$\xi$-conharmonically flatness

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