Tulczyjew's triples and lagrangian submanifolds in classical field theories

Details Tulczyjew's triples and lagrangian submanifolds in classical field theories Tulczyjew's triples and lagrangian submanifolds in classical field theories

2003-02-11

arxiv.org/abs/math-ph/0302026v1

Physics

Mathematical Physics

29 pages

Scientific paper

In this paper the notion of Tulczyjew's triples in classical mechanics is
extended to classical field theories, using the so-called multisymplectic
formalism, and a convenient notion of lagrangian submanifold in multisymplectic
geometry. Accordingly, the dynamical equations are interpreted as the local
equations defining these lagrangian submanifolds.

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