Study of Some New Curvature Tensors On Lorentzian Para Sasakian Manifolds And Other Related Manifolds

Abstract

The object of the present paper is to study Lorentzian Para Sasakian manifolds admitting a W3-curvature tensor. We have shown that a W3-at LP-Sasakian manifold is an Einstein

manifold, a W3-symmetric and W3-at LP-Sasakian manifold is a at space, and a W3-semi- symmetric LP-Sasakian manifold is a W3-symmetric manifold. We have also considered the

geometry of an LP-Sasakian manifold endowed with a conservative W3 curvature tensor and shown that it is an Einstein manifold.