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 aW3- at LP-Sasakian manifold is an Einstein manifold, aW3-symmetric andW3- at LP-Sasakian manifold is a at space, and aW3-semisymmetric LP-Sasakian manifold is aW3-symmetric manifold. We have also considered the geometry of an LP-Sasakian manifold endowed with a conservativeW3 curvature tensor and shown that it is an Einstein manifold.