- International Electronic Journal of Geometry
- Volume:12 Issue:2
- A Note on f-biharmonic Legendre Curves in S-Space Forms
A Note on f-biharmonic Legendre Curves in S-Space Forms
Authors : Şaban Güvenç
Pages : 260-267
Doi:10.36890/iejg.554662
View : 46 | Download : 14
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
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