Tame integrals of motion and o-minimal structures

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We expose some ideas from mathematical logics, i.e. the background of the theory of o-minimal structures, and demonstrate how they lead to the notion of a tame integral of motion and some extensions and clarifications of previous results on obstructions to integrability of geodesic flows.
LaTeX, 10 pages

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Dynamical Systems, Differential Geometry, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/65711

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211292
 http://arxiv.org/abs/math/0211292
 Amer. Math. Soc. Transl., Ser. 2, V. 212, 2004, P. 317--324

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arXiv