We introduce a notion of ‘nondegenerate integrable contact system’ for 3-contact manifolds. In the case of compact manifolds, we construct characteristic invariants for such a system. This is the contact analogue of the work done by A. Toulet (1996) for Hamiltonian systems with one degree of freedom, and we use these results. The invariants pointed out indicate that, generally, we arrive at systems which are not contactisations of Toulet models.

Received: 2006-10-19
Accepted: 2006-10-27
Published online: 2006-12-01
DOI: 10.1016/j.crma.2006.10.022

@article{CRMATH_2006__343_11-12_751_0,
     author = {Moussa Balde and Salomon Sambou and El Hadj Cheikh Mbacke Diop},
     title = {Syst\`emes de contact int\'egrables \`a singularit\'ees non d\'eg\'en\'er\'ees},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {751--754},
     publisher = {Elsevier},
     volume = {343},
     number = {11-12},
     year = {2006},
     doi = {10.1016/j.crma.2006.10.022},
     language = {fr},
}

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Moussa Balde; Salomon Sambou; El Hadj Cheikh Mbacke Diop. Systèmes de contact intégrables à singularitées non dégénérées. Comptes Rendus. Mathématique, Volume 343 (2006) no. 11-12, pp. 751-754. doi : 10.1016/j.crma.2006.10.022. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.10.022/