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: Wiley 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/6831650
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author S. Aynur Uysal
Hülya Bağdatlı Yılmaz
author_facet S. Aynur Uysal
Hülya Bağdatlı Yılmaz
author_sort S. Aynur Uysal
collection DOAJ
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.
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id doaj-art-1f195f35c9734d7a8ae4ae21d7d75e0a
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-1f195f35c9734d7a8ae4ae21d7d75e0a2025-08-20T03:54:34ZengWileyAdvances 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
spellingShingle S. Aynur Uysal
Hülya Bağdatlı Yılmaz
Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold
Advances in Mathematical Physics
title 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_short 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
url http://dx.doi.org/10.1155/2020/6831650
work_keys_str_mv AT saynuruysal somepropertiesofgeneralizedeinsteintensorforapseudoriccisymmetricmanifold
AT hulyabagdatlıyılmaz somepropertiesofgeneralizedeinsteintensorforapseudoriccisymmetricmanifold