Decomposition of symplectic vector fields with respect to a fibration in lagrangian tori

Details Decomposition of symplectic vector fields with respect to a fibration in lagrangian tori Decomposition of symplectic vector fields with respect to a fibration in lagrangian tori

2004-03-24

arxiv.org/abs/math/0403411v1

Mathematics

Symplectic Geometry

Scientific paper

Given a fibration of a symplectic manifold by lagrangian tori, we show that
each symplectic vector field splits into two parts : the first is Hamiltonian
and the second is symplectic and preserves the fibration. We then show an
application of this result in the study of the regular deformations of
completely integrable systems.

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