A note on trans-Sasakian manifolds
  In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type $(\alpha ,\beta)$ to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained. 
Sharief Deshmukh and Mukut Mani Tripathi
math.DG