Variational principles and symmetries on fibered multisymplectic manifolds
Cita com:
hdl:2117/101999
Tipus de documentArticle
Data publicació2016-12-01
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
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.
CitacióGaset, J., P.D. Prieto-Martínez, Roman-Roy, N. Variational principles and symmetries on fibered multisymplectic manifolds. "Communications in Mathematics", 1 Desembre 2016, vol. 24, núm. 2, p. 137-152.
ISSN2336-1298
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
2017CM-vpsfm.pdf | Artcle principal | 342,6Kb | Visualitza/Obre | |
1610.08689.pdf | Preprint | 215,4Kb | Visualitza/Obre |