On adjoint curves of framed curves and some ruled surfaces

DOI10.5831/HMJ.2023.45.3.380MaRDI QIDQ6549640

Murat Tosun, Bahar Doğan Yazıcı, Siddika Ozkaldi Karakus

Publication date: 4 June 2024

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

ruled surfacesBertrand curvesframed curvesMannheim curvesframed adjoint curves

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Cites Work

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• Associated curves of a Frenet curve and their applications
• Framed curves in the Euclidean space
• Generic properties of helices and Bertrand curves
• Framed curves in three-dimensional Lie groups and a Berry phase model
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• Existence conditions of framed curves for smooth curves
• Framed surfaces in the Euclidean space
• Mannheim partner curves in 3-space
• Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space
• On the trajectory ruled surfaces of framed base curves in the Euclidean space
• Framed Curves and Their Applications Based on a New Differential Equation
• On the classification of framed rectifying curves in Euclidean space

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