Reduced dynamics and Lagrangian submanifolds of symplectic manifolds

E. García-Toraño Andrés, E. Guzmán, J. C. Marrero +1

In this paper, we will see that the symplectic creed by Weinstein "everything is a Lagrangian submanifold" also holds for Hamilton-Poincaré and Lagrange-Poincaré reduction. In fact…