Journal
REPORTS ON MATHEMATICAL PHYSICS
Volume 75, Issue 3, Pages 333-357Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0034-4877(15)30010-0
Keywords
symmetries; Cartan theorem; Noether theorem; conservation laws; jet bundles
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Funding
- Ministerio de Ciencia e Innovacion (Spain) [MTM2011-22585, MTM2011-15725-E]
- Ministerio de Economia y Competividad (Spain) [MTM2013-42870-P, MTM2014-54855-P]
- European project IRSES-project [Geomech-246981]
- ICMAT Severo
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By generalising the cosymplectic setting for time-dependent Lagrangian mechanics, we propose a geometric framework for the Lagrangian formulation of classical field theories with a Lagrangian depending on the independent variables. For that purpose we consider the first-order jet bundles J(1) pi of a fiber bundle pi : E -> R-k where R-k is the space of independent variables. Generalized symmetries of the Lagrangian are introduced and the corresponding Noether theorem is proved.
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