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

Authors : Hülya YILMAZ, Samiye Aynur UYSAL

Pages : 103-107

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Publication Date : 2022-04-15

Article Type : Research Paper

Abstract :The object of the paper is to study the generalized Einstein tensor $Ginsert ignore into journalissuearticles values(X,Y);$ on almost pseudo-Ricci symmetric manifolds, $Ainsert ignore into journalissuearticles values(PRS);_{n}$. Considering the generalized Einstein tensor $Ginsert ignore into journalissuearticles values(X,Y);$ 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