*(English)*Zbl 1197.53059

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 $\tilde{C}\xb7S=0$ on a super quasi-Einstein manifold, where $\tilde{C}$ and $S$ denote the quasi-conformal curvature tensor and Ricci tensor of the manifold, respectively.

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:

53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |