On pseudo W ̃2 flat LP-Sasakian Manifold with a coefficient α

Abstract

De, Shaikh and Sengupta introduced the notion of LP-Sasakian manifolds with coefficient α which generalized the notion of LP-Sasakian manifolds. Recently, Ikawa and his coauthors studied Sasakian manifolds with Lorentzian metric and obtained several results in this manifold. The object of the paper is to steady pseudo flat LP-Sasakian manifolds with coefficient α.

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