Parameterisation of developable surfaces by asymptotic lines

DOI10.1017/S0004972700021821zbMath0890.53004OpenAlexW2136835743MaRDI QIDQ4346921

Vitaly Ushakov

Publication date: 6 July 1998

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

Full work available at URL: https://doi.org/10.1017/s0004972700021821

zbMATH Keywords

developable surfacenonexistence of smooth asymptotic parametrization

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (6)

On the extrinsic curvature and the extrinsic structure of normal developable \(C^1\) surfaces ⋮ Locally Euclidean metrics and their isometric realizations ⋮ Nonrigidity of flat ribbons ⋮ Flat approximations of hypersurfaces along curves ⋮ Equilibrium shapes with stress localisation for inextensible elastic Möbius and other strips ⋮ Propagation of curved folding: the folded annulus with multiple creases exists

Cites Work

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• Surfaces of Gaussian curvature zero in Euclidean 3-space
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• On the Fundamental Equations of Differential Geometry
• On the Asymptotic Curves of a Surface

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