Direction curves associated with Darboux vectors fields and their characterizations

DOI10.1155/2021/3814032zbMath1486.53005OpenAlexW3215203601MaRDI QIDQ2068268

Nidal Echabbi, Amina Ouazzani Chahdi

Publication date: 19 January 2022

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/pdf/0909.2390

zbMATH Keywords

Darboux frameDarboux vectors fields

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17) Affine differential geometry (53A15)

Cites Work

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• Associated curves of a Frenet curve and their applications
• Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
• Relatively normal-slant helices lying on a surface and their characterizations
• On rectifying curves in Euclidean 3-space
• Some new associated curves of a Frenet curve in $\mathbb{E}^3$ and $\mathbb{E}^4$

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