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Journals / International Electronic Journal of Geometry / 2019 / Volume: 12 Issue: 2

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

Şaban Güvenç(BALIKESİR ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0001-6254-4693
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Publication Date
2019-10-03
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study f-biharmonic Legendre curves in S-space forms.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:S−space form · Legendre curve · f-biharmonic curve

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.

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Cite This Article

Güvenç, Ş. (2019). A Note on f-biharmonic Legendre Curves in S-Space Forms. International Electronic Journal of Geometry, Volume: 12 Issue: 2. https://doi.org/10.36890/iejg.554662

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