4.0 Article

SYMMETRIES IN LAGRANGIAN FIELD THEORY

期刊

REPORTS ON MATHEMATICAL PHYSICS
卷 75, 期 3, 页码 333-357

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0034-4877(15)30010-0

关键词

symmetries; Cartan theorem; Noether theorem; conservation laws; jet bundles

资金

  1. Ministerio de Ciencia e Innovacion (Spain) [MTM2011-22585, MTM2011-15725-E]
  2. Ministerio de Economia y Competividad (Spain) [MTM2013-42870-P, MTM2014-54855-P]
  3. European project IRSES-project [Geomech-246981]
  4. ICMAT Severo

向作者/读者索取更多资源

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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