When are the invariant submanifolds of symplectic dynamics Lagrangian?
When are the invariant submanifolds of symplectic dynamics Lagrangian?
Let L be a D-dimensional submanifold of a 2D-dimensional exact symplectic manifold (M, w) and let f be a symplectic diffeomorphism onf M. In this article, we deal with the link between the dynamics of f restricted to L and the geometry of L (is L Lagrangian, is it smooth, …