volume 75, issue 3, P333-357 2015
DOI: 10.1016/s0034-4877(15)30010-0
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Abstract: 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 π of a fiber bundle π : 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.Keywords: Symmetries, Cartan theorem…

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