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Annals of the Alexandru Ioan Cuza University - Mathematics

The Journal of "Alexandru Ioan Cuza" University from Iasi

Editor-in-Chief: Oniciuc, Cezar

2 Issues per year

CiteScore 2016: 0.34

SCImago Journal Rank (SJR) 2016: 0.231
Source Normalized Impact per Paper (SNIP) 2016: 0.488

Mathematical Citation Quotient (MCQ) 2015: 0.10

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On Pseudo Ricci Symmetric Manifolds

Uday De / Abul Gazi
Published Online: 2012-04-26 | DOI: https://doi.org/10.2478/v10157-012-0001-3

On Pseudo Ricci Symmetric Manifolds

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.

Keywords: quasi Einstein manifold; pseudo Ricci symmetric manifold; pseudo Ricci symmetric quasi Einstein perfect fluid spacetime

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About the article

Published Online: 2012-04-26

Published in Print: 2012-01-01

Citation Information: Annals of the Alexandru Ioan Cuza University - Mathematics, Volume 58, Issue 1, Pages 209–222, ISSN (Print) 1221-8421, DOI: https://doi.org/10.2478/v10157-012-0001-3.

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