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Tulczyjew's triples and lagrangian submanifolds in classical field theories

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arxiv math-ph/0302026 v1 pith:O63VFHY4 submitted 2003-02-11 math-ph math.DGmath.MP

M. de Leon , D. Martin de Diego , A. Santamaria-Merino This is my paper · ORCID
classification math-phmath.DGmath.MP
keywords classicallagrangianequationsfieldmultisymplecticnotionsubmanifoldstheories
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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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  1. A survey on geometric frameworks for action-dependent classical field theories and their relationship

    math-ph 2025-06 accept novelty 4.0 of 10

    The k-contact, k-cocontact, and multicontact formalisms for action-dependent field theories are reviewed, and explicit contraction formulas show they coincide on trivial bundles.

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