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ON PSEUDO RICCI SYMMETRIC MANIFOLDS
UDAY CHAND DE, ABUL KALAM GAZI
Published in UNIV AL I CUZA, FAC MATH
2012
Volume: 58

Issue: 1
Pages: 209 - 222
Abstract
The object of the present paper is to study pseudo Ricci symmetric manifolds. Among others we obtain a sufficient condition for a pseudo Ricci symmetric manifold to be a quasi Einstein manifold. We prove that in a pseudo Ricci symmetric quasi Einstein manifold the scalar curvature vanishes and pseudo Ricci symmetric quasi Einstein perfect fluid spacetime has also been considered. Also we construct two examples of pseudo Ricci symmetric manifolds to justify our theorems.