Lorentzian Para Sasakian Manifolds Admitting Special Semi Symmetric Recurrent Metric Connection

Abstract

Several author as Agashe and Chafle [1], Sengupta, De. U.C, Binh [4] and many other introduced semi symmetric non metric connection in different way. In this paper we have studied LP sasakian manifold with special semi-symmetric recurrent metric connection [2] and discuss it exientance in LP sasakian manifold. In section 3 we establish the relation between the Riemannian connection and special semi-symmetric recurrent metric connection on LP sasakian manifold [4]. The section 4 deals with ξ-conformaly flat and ∅ concircularly flat of n dimensional LP sasakian manifold and we proved that ξ-conformaly flatness with special semi-symmetric recurrent metric connection and Riemannian manifold coincide.