Kinematical invariants and applications for surfaces in three dimensional Euclidean space

DOI10.4134/CKMS.C230294MaRDI QIDQ6617107

Yixuan Liu, Huili Liu, Seoung Dal Jung

Publication date: 10 October 2024

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

zbMATH Keywords

ruled surfacesstructure functionsdifferential invariantskinematical invariantscircled surfaces

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Differential invariants (local theory), geometric objects (53A55)

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)
• Ruled invariants and associated ruled surfaces of a space curve
• Ruled invariants and total classification of non-developable ruled surfaces
• 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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