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      Tulczyjew's triples and lagrangian submanifolds in classical field theories

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          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.

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          On the multisymplectic formalism for first order field theories

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            A geometrical approach to Classical Field Theories: a constraint algorithm for singular theories

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              Gradient vector fields on cosymplectic manifolds

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                Journal
                math-ph/0302026

                Mathematical physics,Mathematical & Computational physics,Geometry & Topology

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