On A Semi-Symmetric Non Metric Connection in Lorentzian Para-Cosympletic Manifold

Abstract

In this paper we define and studied a semi-symmetric non metric connection on a Lorentzian Para-Cosympletic Manifold and prove its existence. We deduce the expression for curvature tensor and Ricci tensor of semi-symmetric non metric connection defined. A necessary and sufficient condition has been deduced for the Ricci tensor to be symmetric and skew-symmetric under certain condition. Bianchi first identity associated with the connection, Einstein Manifold, Weyl conformal curvature tensor of the same connection were found.