A Study on Generalized Einstein Tensor for an Almost Pseudo-Ricci Symmetric Manifold

Abstract

The object of the paper is to study the generalized Einstein tensor $G(X,Y)$ on almost pseudo-Ricci symmetric manifolds, $A(PRS)_{n}$. Considering the generalized Einstein tensor $G(X,Y)$ as conservative, cyclic parallel and Codazzi type, it is investigated the properties of such a manifold.