The number of connected components in the preimage of a regular value of the momentum mapping for the geodesic flow on ellipsoid

DOI10.3103/S0027132213050057zbMath1333.53123MaRDI QIDQ263243

S. S. Nikolaenko

Publication date: 4 April 2016

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (1)

An elliptic billiard in a potential force field: classification of motions, topological analysis

Cites Work

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• Geodesic flow on three-dimensional ellipsoids with equal semi-axes
• Topological invariants of Liouville integrable Hamiltonian systems
• Higher operations on the Hochschild complex
• Singularities of integrable geodesic flows on multidimensional torus and sphere
• Geodesics on the ellipsoid and monodromy

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