Abstract

In this paper we present some results for $\phi$ recurrent trans-Sasakian manifolds. We find conditions for such manifolds to be of constant curvature. Finally we give an example of a 3-dimensional $\phi$- recurrent trans-Sasakian manifold.

Keywords: Trans-Sasakian; $\phi$-recurrent; conformally flat; $\eta$-parallel; $\eta$-Einstein; constant curvature.

MSC: 53C25

Pages:  79$-$86     

Volume  63 ,  Issue  2 ,  2011