Contact flows and integrable systems
Symplectic Geometry
2014-09-05 v2 Exactly Solvable and Integrable Systems
Abstract
We consider Hamiltonian systems restricted to the hypersurfaces of contact type and obtain a partial version of the Arnold-Liouville theorem: the system not need to be integrable on the whole phase space, while the invariant hypersurface is foliated on an invariant Lagrangian tori. In the second part of the paper we consider contact systems with constraints. As an example, the Reeb flows on Brieskorn manifolds are considered.
Cite
@article{arxiv.1212.2918,
title = {Contact flows and integrable systems},
author = {Bozidar Jovanovic and Vladimir Jovanovic},
journal= {arXiv preprint arXiv:1212.2918},
year = {2014}
}
Comments
25 pages, to appear in Journal of Geometry and Physics