Force free conformal motions of the sphere.

DOI10.1016/S0926-2245(02)00061-XzbMath1036.53026OpenAlexW2012632894WikidataQ115338220 ScholiaQ115338220MaRDI QIDQ1608978

Marcos Salvai

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(02)00061-x

zbMATH Keywords

conformal group\(n\)-spheredistribution of massforce free motion

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Geodesics in global differential geometry (53C22) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lie groups (22E99)

Related Items (5)

Möbius fluid dynamics on the unitary groups ⋮ Polar factorization of conformal and projective maps of the sphere in the sense of optimal mass transport ⋮ Geodesic paths of circles in the plane ⋮ Force free projective motions of the sphere ⋮ An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature

Cites Work

• Dynamical invariants of rigid motions on the hyperbolic plane
• On the dynamics of a rigid body in the hyperbolic space
• SOME REMARKS ON THE MOTION OF A RIGID BODY IN A SPACE OF CONSTANT CURVATURE WITHOUT EXTERNAL FORCES1
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