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Paper detail

Lagrangian submanifolds and Hamilton-Jacobi equation

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.

preprint2012arXivOpen access
M. Barbero-LiñánM. de LeónD. Martín de Diego
math-phmath.MP
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M. Barbero-LiñánM. de LeónD. Martín de Diego

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