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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Submitted by P. N. Ivanshin
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Sarkar, A., Hui, S.K. & Sen, M. A study on Legendre curves in 3-dimensional trans-Sasakian manifolds. Lobachevskii J Math 35, 11–18 (2014). https://doi.org/10.1134/S1995080214010077
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DOI: https://doi.org/10.1134/S1995080214010077