Abstract
The object of the present paper is to show that Theorem 3 of the paper [22] on 3-dimensional quasi-Sasakianmanifolds can be extended to 3-dimensional trans-Sasakian manifolds. We also find the curvature and torsion of Legendre curves in 3-dimensional trans-Sasakian manifolds with respect to semisymmetric metric connection. Keywords and phrases: Legendre curve, trans-Sasakian manifold, semisymmetric metric connection, curvature, torsion.
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