Communications in Mathematics |
The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multi-symplectic structure. Then, for the corresponding variational equations, conserved quantities (or, what is equivalent, conservation laws), symmetries, Cartan (Noether) symmetries, gauge symmetries and different versions of Noether's theorem are studied in this ambient. In this way, this constitutes a general geometric framework for all these topics that includes, as special cases, first and higher order field theories and (non-autonomous) mechanics.
Source : ScholeXplorer
IsReferencedBy ARXIV 1705.00569 Source : ScholeXplorer IsReferencedBy DOI 10.1063/1.4998526 Source : ScholeXplorer IsReferencedBy DOI 10.48550/arxiv.1705.00569
Gaset, Jordi ; Román-Roy, Narciso ; |