Integrable geodesic flows on the sphere, generated by Goryachev-Chaplygin and Kowalewski systems in the dynamics of a rigid body

DOI10.1007/BF02110747zbMath0835.70008MaRDI QIDQ1905271

A. T. Fomenko, Alexei V. Bolsinov

Publication date: 8 January 1996

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

first integralsEuler-Poisson equationsRiemannian metricsMaupertuis' principle

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (8)

The Bertrand's manifolds with equators ⋮ Classification of singularities of the Liouville foliation of an integrable elliptical Billiard with a potential of fourth degree ⋮ Topological atlas of the Kovalevskaya top in a double field ⋮ Superintegrable system on a sphere with the integral of higher degree ⋮ Topological Classification of Geodesic Flows on Revolution 2-Surfaces with Potential ⋮ Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: Recent results ⋮ Reducing the degree of integrals of Hamiltonian systems by using billiards ⋮ Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stäckel-Killing tensors

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