Curves always Lie in the plane spanned by Darboux frame

DOI10.1007/s12215-020-00547-wzbMath1473.53009OpenAlexW3047787817MaRDI QIDQ2047482

Takeshi Takahashi

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00547-w

zbMATH Keywords

Darboux framenormal developable surfaceclad helicesosculating Darboux curveosculating Darboux developablerectifying Darboux curve

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (1)

Characterizing the developable surfaces with curves whose position vectors Lie in the planes spanned by Darboux frame

Cites Work

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• Slant helices in the Euclidean 3-space revisited
• Spherical Darboux images of curves on surfaces
• On fixed point theorem of \(\{a,b,c\}\)-generalized nonexpansive mappings in normed spaces
• Timelike clad helices and developable surfaces in Minkowski 3-space
• Flat approximations of surfaces along curves
• On slant helix and its spherical indicatrix
• Normal developable surfaces of surfaces along curves
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• On rectifying curves in Euclidean 3-space
• Curves of Constant Precession
• Generalized Helices and Singular Points
• The Generalization of Helices
• Flat surfaces along cuspidal edges
• On isophote curves and their characterizations

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