Lagrangian submanifolds and Hamilton-Jacobi equation
Mathematical Physics
2012-09-06 v1 math.MP
Abstract
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.
Cite
@article{arxiv.1209.0807,
title = {Lagrangian submanifolds and Hamilton-Jacobi equation},
author = {M. Barbero-Liñán and M. de León and D. Martín de Diego},
journal= {arXiv preprint arXiv:1209.0807},
year = {2012}
}
Comments
18 pages