Tulczyjew's triples and lagrangian submanifolds in classical field theories
de Leon, M. ; de Diego, D. Martin ; Santamaria-Merino, A.
arXiv, 0302026 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-02-11
Classification:  Mathematical Physics,  Mathematics - Differential Geometry,  53C15,  70S05,  53D12 
@article{0302026,
     author = {de Leon, M. and de Diego, D. Martin and Santamaria-Merino, A.},
     title = {Tulczyjew's triples and lagrangian submanifolds in classical field
  theories},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0302026}
}

de Leon, M.; de Diego, D. Martin; Santamaria-Merino, A. Tulczyjew's triples and lagrangian submanifolds in classical field
  theories. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0302026/