Global bitangency properties of generic closed space curves

DOI10.1017/S030500410007119XzbMath0783.53003OpenAlexW2125076448MaRDI QIDQ5288346

María Carmen Romero Fuster, Juan Jose Nuño-Ballesteros

Publication date: 2 September 1993

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

Full work available at URL: https://doi.org/10.1017/s030500410007119x

zbMATH Keywords

critical pointsfour-vertex-theoremsbitangent osculating planescross tangentszero torsion points

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (5)

Separation by a codimension-1 map with a normal crossing point ⋮ Scheme-theoretic Whitney conditions ⋮ The geometry of the secant caustic of a planar curve ⋮ On the number of triple points of the tangent developable ⋮ Towards the Legendre Sturm theory of space curves

Cites Work

• The numbers of triple tangencies of smooth space curves
• Convexly generic curves in \(\mathbb{R}^3\)
• Double tangent planes to a space curve
• Singularities of the Exponential Map of the Tangent Bundle Associated with an Immersion

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