On some classes of super quasi-Einstein manifolds
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-c...
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| Published in | Chaos, solitons and fractals Vol. 40; no. 3; pp. 1156 - 1161 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
15.05.2009
|
| Online Access | Get full text |
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| 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
C
∼
·
S
=
0
on a super quasi-Einstein manifold, where
C
∼
and
S denote the quasi-conformal curvature tensor and Ricci tensor of the manifold, respectively. |
|---|---|
| ISSN: | 0960-0779 1873-2887 |
| DOI: | 10.1016/j.chaos.2007.08.070 |