A note on trans-Sasakian manifolds

Published 5 Mar 2012 in math.DG | (1203.0860v1)

Abstract: 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.

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