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.

Keywords

• Almost pseudo-Ricci symmetric manifold
• Generalized Einstein tensor
• Torqued vector field
• Conservative
• Cyclic parallel
• Codazzi tensor.

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