The relatively osculating developable surfaces of a surface along a direction curve

DOI10.31801/cfsuasmas.527231zbMath1495.53007OpenAlexW2999868533MaRDI QIDQ5083646

Yasin Ünlütürk, Rashad A. Abdel-Baky

Publication date: 20 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.527231

zbMATH Keywords

singularitiesruled surfacescurves on surfacesdirection curverelatively osculating developable surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Curves in Euclidean and related spaces (53A04)

Related Items (1)

Some special ruled surfaces generated by a direction curve according to the Darboux frame and their characterizations

Uses Software

• CandS

Cites Work

• Developable surfaces: their history and application
• Special curves and ruled surfaces
• Flat approximations of hypersurfaces along curves
• Flat approximations of surfaces along curves
• Singularities of ruled surfaces in ℝ³
• Normal developable surfaces of surfaces along curves
• Ruled surfaces and tangent bundle of unit 2-sphere
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