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

S. Aynur Uysal, Hülya Bağdatlı Yılmaz
2020 Advances in Mathematical Physics  
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.
doi:10.1155/2020/6831650 fatcat:t2sdpeow5va5lpboeinnkaijvu