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

Abstract

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.

preprint, 27 pages

References in corpus (1)

• Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds

Cited by in corpus (8)

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