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

Year 2022, Volume: 10 Issue: 1, 103 - 107, 15.04.2022

Hülya Yılmaz Samiye Aynur Uysal

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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