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Zbl 1197.53059
Özgür, Cihan
On some classes of super quasi-Einstein manifolds.
(English)
[J] Chaos Solitons Fractals 40, No. 3, 1156-1161 (2009). ISSN 0960-0779

Summary: Quasi-Einstein and generalized quasi-Einstein manifolds are the generalizations of Einstein manifolds. In this study, we consider a super quasi-Einstein manifold, which is another generalization of an Einstein manifold. We find the curvature characterizations of a Ricci-pseudosymmetric and a quasi-conformally flat super quasi-Einstein manifolds. We also consider the condition $\tilde{C}\cdot S=0$ on a super quasi-Einstein manifold, where $\tilde{C}$ and $S$ denote the quasi-conformal curvature tensor and Ricci tensor of the manifold, respectively. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.
MSC 2000:
*53C25 Special Riemannian manifolds
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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