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 = L_SQ(1,S), C S = 0, C S = 0, W S = 0 and W2 S = 0 where R,S,C,C, W and 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 suffcient 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.