|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Contact flows and integrable systems||Journal:||Journal of Geometry and Physics||Volume:||87||First page:||217||Last page:||232||Issue Date:||1-Jan-2015||Rank:||M22||ISSN:||0393-0440||DOI:||10.1016/j.geomphys.2014.07.030||Abstract:||
We consider Hamiltonian systems restricted to the hypersurfaces of contact type and obtain a partial version of the Arnold-Liouville theorem: the system need not 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.
|Keywords:||Brieskorn manifolds | Constraints | Contact systems | Hypersurfaces of contact type | Noncommutative integrability | Partial integrability||Publisher:||Elsevier||Project:||Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems|
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