Jordi Gaset ; Pedro D. Prieto-Martínez ; Narciso Román-Roy - Variational principles and symmetries on fibered multisymplectic manifolds

cm:9456 - Communications in Mathematics, December 22, 2016, Volume 24 (2016), Issue 2 - https://doi.org/10.1515/cm-2016-0010
Variational principles and symmetries on fibered multisymplectic manifolds

Authors: Jordi Gaset ORCID-iD; Pedro D. Prieto-Martínez ; Narciso Román-Roy ORCID-iD

    The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multi-symplectic structure. Then, for the corresponding variational equations, conserved quantities (or, what is equivalent, conservation laws), symmetries, Cartan (Noether) symmetries, gauge symmetries and different versions of Noether's theorem are studied in this ambient. In this way, this constitutes a general geometric framework for all these topics that includes, as special cases, first and higher order field theories and (non-autonomous) mechanics.

    https://doi.org/10.1515/cm-2016-0010
    Source : oai:HAL:hal-03664930v1
    Volume: Volume 24 (2016), Issue 2
    Published on: December 22, 2016
    Imported on: May 11, 2022
    Keywords: General Mathematics,[MATH]Mathematics [math]
    Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)

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    Source : ScholeXplorer IsReferencedBy ARXIV 1705.00569
    Source : ScholeXplorer IsReferencedBy DOI 10.1063/1.4998526
    Source : ScholeXplorer IsReferencedBy DOI 10.48550/arxiv.1705.00569
    • 10.1063/1.4998526
    • 10.1063/1.4998526
    • 10.1063/1.4998526
    • 10.48550/arxiv.1705.00569
    • 1705.00569
    Multisymplectic unified formalism for Einstein-Hilbert gravity
    Gaset, Jordi ; Román-Roy, Narciso ;

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