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

Authors : Şaban Güvenç

Pages : 260-267

Doi:10.36890/iejg.554662

View : 13 | Download : 7

Publication Date : 2019-10-03

Article Type : Research Paper

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^insert ignore into journalissuearticles values(2m+s);insert ignore into journalissuearticles values(−3s);, with m = 2 and s = 2.
Keywords : S space form, Legendre curve, f biharmonic curve, Frenet curve