The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability

A. T. Fomenko

Izvestiya. Mathematics , Tome 29 (1987) no. 3, pp. 629-658.

Résumé

The surfaces of constant energy in integrable Hamiltonian systems which possess Bott integrals are classified. A complete topological classification is given of surgery of Liouville tori in general position in integrable Hamiltonian systems. Bibliography: 28 titles.

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