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Symmetries in Classical Field Theory

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arxiv math-ph/0404013 v2 pith:ANDTJCK4 submitted 2004-04-05 math-ph math.MP

classification math-phmath.MP
keywords classicalfieldsymmetriesallowcauchyclassificationcompleteconservation
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The multisymplectic description of Classical Field Theories is revisited, including its relation with the presymplectic formalism on the space of Cauchy data. Both descriptions allow us to give a complete scheme of classification of infinitesimal symmetries, and to obtain the corresponding conservation laws.

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Cited by 1 Pith paper

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  1. Geometric formulation for Palatini-Cartan gravity

    gr-qc 2026-06 unverdicted novelty 2.0 of 10

    Authors apply multisymplectic and polysymplectic formalisms to the known Palatini-Cartan model, recovering torsion-free and Einstein equations, constructing momentum maps and Noether currents, and performing a space-t...

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