The Generalization of Helices

DOI10.22080/cjms.2019.14595.1356zbMath1463.53008OpenAlexW2955464052MaRDI QIDQ5135477

Takeshi Takahashi

Publication date: 20 November 2020

Full work available at URL: http://cjms.journals.umz.ac.ir/article_2215_bb1fe5cb9197ae3010da64b0aecbb184.pdf

zbMATH Keywords

Gauss mapdevelopable surfaceslant helicesclad helicesspherical involute

Mathematics Subject Classification ID

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

Related Items (1)

Curves always Lie in the plane spanned by Darboux frame

Cites Work

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• Slant helices in the Euclidean 3-space revisited
• Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
• Generic properties of helices and Bertrand curves
• Position vectors of slant helices in Euclidean 3-space
• Timelike clad helices and developable surfaces in Minkowski 3-space
• On slant helix and its spherical indicatrix
• A New Approach on Constant Angle Surfaces in E^3
• Curves of Constant Precession
• Generalized Helices and Singular Points
• Flat surfaces along cuspidal edges
• On isophote curves and their characterizations

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