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,?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 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.