Some Investigations In Riemannian Manifolds Admitting Certain Connections

Abstract

newline Abstract newlineIn this these we determine some properties of pseudo W2- curvature tensor denoted by on Riemannian manifolds. Firstly, we consider pseudoW2- conservative manifolds. After this, space-time with vanishing pseudo W2- curvature tensor and some geometrical properties of such a space-time have been obtained. newlineYano and Sawaki(1972) introduced quasi conformal curvature tensor in a Riemannian manifold. Recently one of the author Prasad(2002) investigated pseudo projective curvature tensor in a Riemannian manifold. In this these we introduced a new curvature tensor named as Pseudo-projective curvature tensor on a Riemannian manifold. Some properties for Pseudo-projective curvature tensor are investigated. Finally a particular case has been shown.