English

Tame integrals of motion and o-minimal structures

Dynamical Systems 2007-05-23 v1 Differential Geometry Exactly Solvable and Integrable Systems

Abstract

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.

Keywords

Cite

@article{arxiv.math/0211292,
  title  = {Tame integrals of motion and o-minimal structures},
  author = {I. A. Taimanov},
  journal= {arXiv preprint arXiv:math/0211292},
  year   = {2007}
}

Comments

LaTeX, 10 pages

R2 v1 2026-07-22T16:49:32.462Z