Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899236 | Reports on Mathematical Physics | 2015 | 25 Pages |
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
Lucia Búa, Ioan Bucataru, Manuel de León, Modesto Salgado, Silvia Vilariño,