Some integral curves with a new frame

DOI10.1515/math-2020-0078zbMath1482.53007OpenAlexW3117502085MaRDI QIDQ2053511

İlkay Arslan Güven

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0078

zbMATH Keywords

general helixintegral curveassociated curveFlc-frame

Mathematics Subject Classification ID

Plane and space curves (14H50) Curves in Euclidean and related spaces (53A04)

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Cites Work

• Associated curves of a Frenet curve and their applications
• Harmonic curvatures and generalized helices in \(\mathbb{E}^n\)
• Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
• A generalization of Lancret's theorem
• Mannheim partner curves in 3-space
• There is More than One Way to Frame a Curve
• General helices and a theorem of Lancret
• Some new associated curves of a Frenet curve in $\mathbb{E}^3$ and $\mathbb{E}^4$
• Helices
• General helices in the three-dimensional Lorentzian space forms
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