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 significant results of the pseudo-projective curvature tensor on warped product manifolds in terms of its base and fiber manifolds. Moreover, we derive some interesting results which describe the geometry of base and fiber manifolds for a pseudo-projectively at warped product manifold. Lastly, we study the pseudo-projective curvature tensor on generalized Robertson-Walker space-times and standard static space-times.