Some characterizations of dual curves in dual 3-space \(\mathbb{D}^3\)

DOI10.3934/math.2021200OpenAlexW3125203281MaRDI QIDQ2144828

Rashad A. Abdel-Baky, Mohamed Khalifa Saad

Publication date: 17 June 2022

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

Full work available at URL: https://doi.org/10.3934/math.2021200

zbMATH Keywords

Serret-Frenet formulaedual helicesE. Study maprectifying dual curve

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Curves in Euclidean and related spaces (53A04)

Cites Work

• Normal and spherical curves in dual space \(D^3\)
• On rectifying dual spaces curves
• A Study on Dual Mannheim Partner Curves
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• Evolutes of dual spherical curves for ruled surfaces
• Computational line geometry
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