int. electron. j. geom. International Electronic Journal of Geometry 1307-5624 Kazım İlarslan 10.36890/iejg.554662 A Note on f-biharmonic Legendre Curves in S-Space Forms https://orcid.org/0000-0001-6254-4693 Güvenç Şaban BALIKESİR ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ 10 03 2019 12 2 260 267 04 16 2019 09 10 2019 Copyright © 2008, International Electronic Journal of Geometry 2008 International Electronic Journal of Geometry

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.

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