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...

Full description

Saved in:
Bibliographic Details
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
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1687-9120
1687-9139