Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold

The object of the paper is to study some properties of the generalized Einstein tensor GX,Y which is recurrent and birecurrent on pseudo-Ricci symmetric manifolds PRSn. Considering the generalized Einstein tensor GX,Y as birecurrent but not recurrent, we state some theorems on the necessary and suff...

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Main Authors:	S. Aynur Uysal, Hülya Bağdatlı Yılmaz
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Advances in Mathematical Physics
Online Access:	http://dx.doi.org/10.1155/2020/6831650

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spelling	doaj-1f195f35c9734d7a8ae4ae21d7d75e0a2021-07-02T12:21:48ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/68316506831650Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric ManifoldS. Aynur Uysal0Hülya Bağdatlı Yılmaz1Faculty of Engineering, Department of Software, Istanbul, TurkeyMarmara University, Faculty of Arts and Sciences, Department of Mathematics, Istanbul, TurkeyThe object of the paper is to study some properties of the generalized Einstein tensor GX,Y which is recurrent and birecurrent on pseudo-Ricci symmetric manifolds PRSn. Considering the generalized Einstein tensor GX,Y as birecurrent but not recurrent, we state some theorems on the necessary and sufficient conditions for the birecurrency tensor of GX,Y to be symmetric.http://dx.doi.org/10.1155/2020/6831650
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S. Aynur Uysal Hülya Bağdatlı Yılmaz
spellingShingle	S. Aynur Uysal Hülya Bağdatlı Yılmaz Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold Advances in Mathematical Physics
author_facet	S. Aynur Uysal Hülya Bağdatlı Yılmaz
author_sort	S. Aynur Uysal
title	Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold
title_short	Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold
title_full	Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold
title_fullStr	Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold
title_full_unstemmed	Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold
title_sort	some properties of generalized einstein tensor for a pseudo-ricci symmetric manifold
publisher	Hindawi Limited
series	Advances in Mathematical Physics
issn	1687-9120 1687-9139
publishDate	2020-01-01
description	The object of the paper is to study some properties of the generalized Einstein tensor GX,Y which is recurrent and birecurrent on pseudo-Ricci symmetric manifolds PRSn. Considering the generalized Einstein tensor GX,Y as birecurrent but not recurrent, we state some theorems on the necessary and sufficient conditions for the birecurrency tensor of GX,Y to be symmetric.
url	http://dx.doi.org/10.1155/2020/6831650
work_keys_str_mv	AT saynuruysal somepropertiesofgeneralizedeinsteintensorforapseudoriccisymmetricmanifold AT hulyabagdatlıyılmaz somepropertiesofgeneralizedeinsteintensorforapseudoriccisymmetricmanifold
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Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold

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