Article ID Journal Published Year Pages File Type
1892769 Journal of Geometry and Physics 2015 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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