Ruled invariants and total classification of non-developable ruled surfaces

DOI10.1007/s00022-022-00631-9zbMath1497.53008OpenAlexW4214903153MaRDI QIDQ2116832

Yixuan Liu, Seoung Dal Jung, Liu Hui-Li

Publication date: 18 March 2022

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-022-00631-9

zbMATH Keywords

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

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) 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)

Related Items (1)

Some geometric properties of normal and tangent submanifolds

Cites Work

• Structure and characterization of ruled surfaces in Euclidean 3-space
• Ruled invariants and associated ruled surfaces of a space curve
• Invariants of non-developable ruled surfaces in Euclidean 3-space
• Mannheim partner curves in 3-space
• Unnamed Item

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