Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times

Abstract

. In this paper we study the pseudo-projective curvature tensor on warped product manifolds. We obtain some signi(cid:12)cant results of the pseudo-projective curvature tensor on warped product manifolds in terms of its base and (cid:12)ber manifolds. Moreover, we derive some interesting results which describe the geometry of base and (cid:12)ber manifolds for a pseudo-projectively (cid:13)at warped product manifold. Lastly, we study the pseudo-projective curvature tensor on generalized Robertson-Walker space-times and standard static space-times.