Topological Classification of the Tangent Developables of Space Curves

DOI10.1112/S0024610700001095zbMath1029.58027MaRDI QIDQ4520461

Go-o Ishikawa

Publication date: 13 December 2000

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

zbMATH Keywords

ruled surfacesGaussian curvaturespace curvestangent developableprojective dualitytopologically determinative

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (12)

Tangent developables and Darboux developables of framed curves ⋮ Legendrian dual surfaces of a spacelike curve in the 3-dimensional lightcone ⋮ On the timelike sweeping surfaces and singularities in Minkowski 3-space \(\mathbb{E}_1^3\) ⋮ Singularities of non-lightlike developable surfaces in Minkowski 3-space ⋮ On the growth behaviour of Hironaka quotients ⋮ Generic bifurcations of framed curves in a space form and their envelopes ⋮ Singularities of flat extensions from generic surfaces with boundaries ⋮ Lightlike tangent developables in de Sitter 3-space ⋮ The local classifications of the ruled surfaces of normals and binormals of a regular space curve ⋮ The doodle of a finitely determined map germ from \(\mathbb R^2\) to \(\mathbb R^3\) ⋮ Finitely determined singularities of ruled surfaces in ³ ⋮ Singularities for one-parameter developable surfaces of curves

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