Invariants of non-developable ruled surfaces in Euclidean 3-space

DOI10.1007/s13366-013-0177-zzbMath1296.53019OpenAlexW2085207036MaRDI QIDQ2452339

Yanhua Yu, Seoung Dal Jung, Liu Hui-Li

Publication date: 2 June 2014

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-013-0177-z

zbMATH Keywords

ruled surfacestructure functionangle function of pitchpitch functionspherical curveFrenet formulacenter of torsion

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Methods of local Riemannian geometry (53B21)

Related Items (7)

Structure and characterization of ruled surfaces in Euclidean 3-space ⋮ Structure Functions of Ruled Surfaces with Null Rulings ⋮ Structure and characterization of ruled surfaces in Minkowski 3-space ⋮ Generalized osculating‐type ruled surfaces of singular curves ⋮ Structures and properties of null scroll in Minkowski 3-space ⋮ Ruled invariants and associated ruled surfaces of a space curve ⋮ Ruled invariants and total classification of non-developable ruled surfaces

Cites Work

• Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-space
• Öffnungsvarianten der Bahnregelflächen euklidischer Zwangläufe. (Aperture invariants for ruled surfaces representing trajectories of constrained Euclidean motions)
• Über geschlossene Bewegungsvorgänge
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
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