Legendre trajectories of trans-$S$-manifolds

\c{S}aban G\

doi:10.4134/BKMS.b210244

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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

Legendre trajectories of trans-$S$-manifolds

\c{S}aban G\"{u}ven\c{c}

Balikesir University

Abstract

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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, 53C40, 53A0