Topological properties of a rotation function in the integrable Jacobi problem for geodesics on ellipsoids
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A new proof of the Bolsinov-Fomenko theorem on a geodesic flow on ellipsoids is given. Bibliography 2 titles.
KeywordsTopological Property Geodesic Flow Rotation Function Jacobi Problem
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- 1.A. V. Bolsinov and A. T. Fomenko, “Orbital classification of integrable Hamiltonian systems with two degrees of freedom. Classification theorem,”Mat. Sb., to appear.Google Scholar
- 2.A. V. Bolsinov and A. T. Fomenko, “Orbital classification of geodesic flows of two-dimensional ellipsoids. The Jacobi problem is orbital equivalent to the integrable Euler case in the rigid body dynamics,”Funkts. Anal. Prilozh., to appear.Google Scholar
© Kluwer Academic/Plenum Publishers 1999