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Classe de Chern de certaines fibrations isotropes. (Chern class of some isotrope fibrations). (French) Zbl 0577.55014

According to the Liouville theorem a phase space of an integrable Hamiltonian system carries a structure of toroidal Lagrangian bundle and local action-angle variables. A more general situation of isotropic toroidal foliations on symplectic manifolds is considered and obstructions for the existence of global action-angle variables are constructed.
Reviewer: A.Givental’

MSC:

55R40 Homology of classifying spaces and characteristic classes in algebraic topology
55S40 Sectioning fiber spaces and bundles in algebraic topology
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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