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.