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arxiv: math/0211292 · v1 · submitted 2002-11-19 · 🧮 math.DS · math.DG· nlin.SI

Tame integrals of motion and o-minimal structures

classification 🧮 math.DS math.DGnlin.SI
keywords motiono-minimalsomestructurestamebackgroundclarificationsdemonstrate
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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.

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