Bull. Korean Math. Soc. 2022; 59(1): 227-239
Online first article January 31, 2022 Printed January 31, 2022
https://doi.org/10.4134/BKMS.b210244
Copyright © The Korean Mathematical Society.
In this paper, we consider Legendre trajectories of trans-$S$-manifolds. We obtain curvature characterizations of these curves and give a classification theorem. We also investigate Legendre curves whose Frenet frame fields are linearly dependent with certain combination of characteristic vector fields of the trans-$S$-manifold.
Keywords: Trans-$S$-manifold, Legendre trajectory
MSC numbers: Primary 53C25, 53C40, 53A0
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