On a type of trans-Sasakian manifolds

Abstract: The object of the present paper is to study 3-dimensional trans-Sasakian manifolds admitting a $W_{2}$-curvature tensor. Trans-Sasakian manifolds satisfying the curvature condition $S(X,\xi).R=0$ is also considered.

Keywords: Trans-Sasakian manifold, $W_{2}$-curvature tensor, Concircular curvature tensor, Conformal curvature tensor, Einstein manifold

Classification (MSC2000): 53C15; 53C40

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