Ruled invariants and associated ruled surfaces of a space curve

DOI10.1016/j.amc.2018.12.011zbMath1428.53008OpenAlexW2906562175WikidataQ128716147 ScholiaQ128716147MaRDI QIDQ2008844

Seoung Dal Jung, Yixuan Liu, Liu Hui-Li

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.011

zbMATH Keywords

differential invariantFrenet ruled surfaces of curveprincipal normal ruled surface of curveruled invariantstructure functions of ruled surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Differential geometric aspects in kinematics (53A17) Curves in Euclidean and related spaces (53A04) Differential invariants (local theory), geometric objects (53A55) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

A survey of the representations of rational ruled surfaces ⋮ Ruled invariants and total classification of non-developable ruled surfaces

Cites Work

• Structure and characterization of ruled surfaces in Euclidean 3-space
• 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)
• Invariants of non-developable ruled surfaces in Euclidean 3-space
• Ruled surfaces with lightlike ruling in 3-Minkowski space
• Über geschlossene Bewegungsvorgänge
• Characterizations of ruled surfaces with lightlike ruling in Minkowski 3-space

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