A Note on f-biharmonic Legendre Curves in S-Space Forms

Year 2019, Volume: 12 Issue: 2, 260 - 267, 03.10.2019

Şaban Güvenç

https://doi.org/10.36890/iejg.554662

Cited By: 1

Abstract

In this paper, we study f-biharmonic Legendre curves in S-space forms. Our aim is to find curvature conditions for these curves and determine their types, i.e., a geodesic, a circle, a helix or a Frenet curve of osculating order r with specific curvature equations. We also give a proper example of f-biharmonic Legendre curves in the S-space form R^(2m+s)(−3s), with m = 2 and s = 2.

Keywords

S−space form, Legendre curve, f-biharmonic curve, Frenet curve

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