Ruled surfaces generated by some special curves in Euclidean 3-space

DOI10.1016/j.joems.2013.02.004zbMath1281.53002OpenAlexW2106431881MaRDI QIDQ392336

Adel H. Sorour, Ahmad T. Ali, Hossam S. Abdel Aziz

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.02.004

zbMATH Keywords

ruled surfacesFrenet frameEuclidean 3-spacegeneral helicesSalkowski curvesslant helices

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

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Cites Work

• Associated curves of a Frenet curve and their applications
• Classification of ruled surfaces in Minkowski 3-spaces
• Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
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• Curves with constant curvature ratios
• On the inner curvature of the second fundamental form of helicoidal surfaces
• On the developable time-like trajectory ruled surfaces in a Lorentz 3-space \(\mathbb R^{3}_1\)
• Position vectors of slant helices in Euclidean 3-space
• A Study on Ruled Surface in Euclidean 3-Space
• General helices and a theorem of Lancret
• Special Smarandache Curves According To Darboux Frame In E3
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