Legendre trajectories of Trans-S-manifolds
Bull. Korean Math. Soc.
Published online November 1, 2021
Saban Guvenc
Balikesir University
Abstract : 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; Secondary 53C40, 53A04
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