Tame integrals of motion and o-minimal structures

Details Tame integrals of motion and o-minimal structures Tame integrals of motion and o-minimal structures

2002-11-19

arxiv.org/abs/math/0211292v1

Amer. Math. Soc. Transl., Ser. 2, V. 212, 2004, P. 317--324

Mathematics

Dynamical Systems

LaTeX, 10 pages

Scientific paper

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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