On curves of constant torsion. I

DOI10.1007/s00022-013-0166-2zbMath1282.53003arXiv1206.7086OpenAlexW2057987764MaRDI QIDQ375379

O. Michael Melko, Larry M. Bates

Publication date: 30 October 2013

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

Full work available at URL: https://arxiv.org/abs/1206.7086

zbMATH Keywords

spherical curvesconstant torsion

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items

On curves of constant torsion. I, Monge surfaces and planar geodesic foliations, Dynamics on \(\mathbb{S}^3\) and the Hopf fibration, Minimal surface generating flow for space curves of non-vanishing torsion, On curves with nonnegative torsion

Cites Work

• On curves of constant torsion. I
• An explicit formula for spherical curves with constant torsion
• On the four-vertex theorem for space curves
• A four vertex theorem for strictly convex space curves
• On the number of singularities, zero curvature points and vertices of a simple convex space curve
• Closed Curves of Constant Torsion. II
• BÄCKLUND TRANSFORMATIONS AND KNOTS OF CONSTANT TORSION
• Four Vertices of a Convex Space Curve
• Explicit Characterization of Spherical Curves
• On an Explicit Characterization of Spherical Curves
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