Classical field theories of first order and lagrangian submanifolds of premultisymplectic manifolds

Autor:	Campos, Cédric M., Guzmán, Elisa, Marrero, Juan Carlos
Rok vydání:	2011
Předmět:	Mathematics - Differential Geometry Mathematical Physics 70S05 (Primary) 70H03 70H05 53D12 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.3934/jgm.2012.4.1
Popis:	A description of classical field theories of first order in terms of Lagrangian submanifolds of premultisymplectic manifolds is presented. For this purpose, a Tulczyjew's triple associated with a fibration is discussed. The triple is adapted to the extended Hamiltonian formalism. Using this triple, we prove that Euler-Lagrange and Hamilton-De Donder-Weyl equations are the local equations defining Lagrangian submanifolds of a premultisymplectic manifold. Comment: preprint, 27 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1110.4778 Zobrazit plný text záznamu View this record from Arxiv