Lagrangian submanifolds and Hamilton-Jacobi equation

M. Barbero-Liñán, M. de León, D. Martín de Diego

Published 2012-09-04Version 1

Lagrangian submanifolds are becoming a very essential tool to generalize and geometrically understand results and procedures in the area of mathematical physics. Here we use general Lagrangian submanifolds to provide a geometric version of the Hamilton-Jacobi equation. This interpretation allows us to study some interesting applications of Hamilton-Jacobi equation in holonomic, nonholonomic and time-dependent dynamics from a geometrical point of view.