Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2018; 33(1): 293-303

Online first article January 9, 2018      Printed January 31, 2018

https://doi.org/10.4134/CKMS.c170116

Copyright © The Korean Mathematical Society.

On slant curves in $S$-manifolds

\c{S}aban G\"{u}ven\c{c}, Cihan \"{O}zg\"{u}r

Balikesir University, Balikesir University

Abstract

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In this paper, we consider biharmonic slant curves in $S$-space forms. We obtain a main theorem, which gives us four different cases to find curvature conditions for these curves. We also give examples of slant curves in $\mathbb{R}^{2n+s}(-3s)$.

Keywords: $S$-manifold, slant curve, biharmonic curve, Frenet curve

MSC numbers: 53C25, 53C40, 53A04

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