English

Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds

Dynamical Systems 2015-06-26 v2 Mathematical Physics math.MP

Abstract

The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.

Keywords

Cite

@article{arxiv.math/0610790,
  title  = {Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds},
  author = {E. Fiorani and G. Sardanashvily},
  journal= {arXiv preprint arXiv:math/0610790},
  year   = {2015}
}

Comments

13 pages, to be published in J. Math. Phys. (2007)