Certain Properties of Mixed Super Quasi Einstein Manifolds

In this paper we have defined mixed super quasi-Einstein manifold MS(QE)n which is more generalized form of Einstein manifold, quasi-Einstein manifold, generalized quasi-Einstein manifold and super quasi-Einstein manifold . In this paper it has been shown that MS(QE)n(n 3) is a MS(QC)n if it is conformally flat. Moreover, it is shown that MS(QC)n(n 3) is a conformally flat MS(QE)n and an example of mixed super quasi Einstein manifold is also given . Properties of the curvature tensor of in a conformally flat, projectively flat and conharmonically flat manifold have been discussed. It has also been shown that a totally umbilical hypersurface of a conharmonically flat MS(QE)n (n 3) is a manifold of mixed super quasi-constant curvature.