Developable surfaces along frontal curves on embedded surfaces

DOI10.1007/s00022-019-0485-zzbMath1423.57049OpenAlexW2945113434WikidataQ127813119 ScholiaQ127813119MaRDI QIDQ2312367

Shun'ichi Honda, Masatomo Takahashi, Shyuichi Izumiya

Publication date: 8 July 2019

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

Full work available at URL: https://doi.org/10.1007/s00022-019-0485-z

zbMATH Keywords

contour generatorsfrontal curves on embedded surfacesnormal developable surfacesosculating developable surfaces

Mathematics Subject Classification ID

Differentiable manifolds, foundations (58A05) Singularities of differentiable mappings in differential topology (57R45) Complex singularities (32S99) Critical points of functions and mappings on manifolds (58K05)

Related Items (1)

Frontal partner curves on unit sphere \(S^2\)

Cites Work

• Singularities of maximal surfaces
• Framed curves in the Euclidean space
• Singularities of flat fronts in hyperbolic space
• Flat approximations of surfaces along curves
• Legendre curves in the unit spherical bundle over the unit sphere and evolutes
• Normal developable surfaces of surfaces along curves
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