Tulczyjew's triples and lagrangian submanifolds in classical field theories

Abstract

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.

29 pages

References in corpus (2)

• De Donder-Weyl Equations and Multisymplectic Geometry
• Geometric Structures in Field Theory

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