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.
