On Some Classes of Generalized Quasi Einstein Manifolds

In the present paper, we investigate generalized quasi Einstein manifolds satisfying some special curvature conditions R·S = 0, R·S = LSQ(g, s), C · S = 0,C̃·S = 0,W̃·S = 0 and W2·S = 0 where R, S,C,C̃,W̃and W2 respectively denote the Riemannian curvature tensor, Ricci tensor, conformal curvature tensor, concircular curvature tensor, quasi conformal curvature tensor and W2-curvature tensor. Later, we find some sufficient conditions for a generalized quasi Einstein manifold to be a quasi Einstein manifold and we show the existence of a nearly quasi Einstein manifolds, by constructing a non trivial example.