On three dimensional quasi-Sasakian manifolds

Let M be a 3-dimensional quasi-Sasakian manifold. Olszak [6] proved that M is conformally at with constant scalar curvature and hence its structure function beta is constant. We have shown that in such M, a second order symmetric parallel tensor is a constant multiple of the associated metric tensor. A necessary and sufficient condition for such a manifold to be minimal has been obtained. Finally if such M satisfies R(X,Y).S = 0, then, S has two different non-zero eigen values.