On some classes of super quasi-Einstein manifolds

Abstract

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) over tilde . S = 0 on a super quasi-Einstein manifold, where (C) over tilde and S denote the quasi-conformal curvature tensor and Ricci tensor of the manifold, respectively.