Abstract
In this paper we show what the geometry of an integrable hamiltonian system is under a rather “generic assumptions”. These hypotheses are closely related to those of Fomenko [10] and [11] on Bott integrals, but are distinct and allow us to study higher codimension singularities. In a “companion” paper Jair Koiller shows this gives a good setting in order to study a perturbed system by Melnikov method. The author thanks the referee for his corrections both mathematical and linguistic.
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Desolneux-Moulis, N. (1991). Singular Lagrangian Foliation Associated to an Integrable Hamiltonian Vector Field. In: Dazord, P., Weinstein, A. (eds) Symplectic Geometry, Groupoids, and Integrable Systems. Mathematical Sciences Research Institute Publications, vol 20. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9719-9_7
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DOI: https://doi.org/10.1007/978-1-4613-9719-9_7
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