Rigid body motions and Arnol'd's theory of fronts on \(\mathbb S^2 \subset \mathbb R^3\)

DOI10.1016/S0393-0440(02)00125-0zbMath1021.70002WikidataQ125751581 ScholiaQ125751581MaRDI QIDQ1864945

Ricardo Uribe-Vargas

Publication date: 23 March 2003

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

zbMATH Keywords

rigid body motioncontact geometrywave frontLegendrian curvestwo-dimensional sphereantipodal curvescaustic of curveco-oriented curveinstantaneous axis of rotation

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (4)

Geometric algebra of singular ruled surfaces ⋮ Frontal partner curves on unit sphere \(S^2\) ⋮ Legendre curves in the unit spherical bundle over the unit sphere and evolutes ⋮ On the theory of fronts on the 2-sphere and the theory of space curves

Cites Work

• Unnamed Item
• Lagrange and Legendre cobordisms. II
• SINGULARITIES OF THE TANGENT DEVELOPABLE SURFACE OF A SPACE CURVE
• The geometry of spherical curves and the algebra of quaternions
• On the differential geometry of closed space curves

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