Article ID Journal Published Year Pages File Type
1899236 Reports on Mathematical Physics 2015 25 Pages PDF
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 J1π of a fiber bundle π : E → ℝk where ℝk is the space of independent variables. Generalized symmetries of the Lagrangian are introduced and the corresponding Noether theorem is proved.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
, , , , ,