1209.0807 (M. Barbero-Liñán et al.)

Lagrangian submanifolds and Hamilton-Jacobi equation    [PDF]

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

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.

View original: http://arxiv.org/abs/1209.0807