On the tangent developable of a space curve

DOI10.1017/S0305004100059429zbMath0495.58005MaRDI QIDQ3959136

D. M. Q. Mond

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

finite determinacyblowing up 3-space along an embedded curvegerm of the tangent developable of a space curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (12)

Tangent developables and Darboux developables of framed curves ⋮ Circular surfaces ⋮ Singularities of tangent surfaces to generic space curves ⋮ Generalized Luneburg canonical varieties and vector fields on quasicaustics ⋮ Singularities of Gauss maps of frontal surfaces with non-front singular points ⋮ Duality of singularities for flat surfaces in Euclidean space ⋮ Generic bifurcations of framed curves in a space form and their envelopes ⋮ Solutions surfaces of Monge-Ampère equations ⋮ 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 ⋮ A relation between the curvature ellipse and the curvature parabola

Cites Work

• A note on the order of determination of a finitely determined germ
• More on the determinacy of smooth map-germs

This page was built for publication: On the tangent developable of a space curve