Geodesic
Variational principles and symmetries on fibered multisymplectic manifolds
Communications in Mathematics, Tome 24 (2016) no. 2, pp. 137-152.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The standard techniques of variational calculus are geometrically stated in the ambient of fiber bundles endowed with a (pre)multisymplectic 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.
Classification : 49S05, 53D42, 55R10, 70H50, 70S05, 70S10
Keywords: Variational principles; Symmetries; Conserved quantities; Noether theorem; Fiber bundles; Multisymplectic manifolds. 
@article{COMIM_2016__24_2_a4,
     author = {Gaset, Jordi and Prieto-Mart{\'\i}nez, Pedro D. and Rom\'an-Roy, Narciso},
     title = {Variational principles and symmetries on fibered multisymplectic manifolds},
     journal = {Communications in Mathematics},
     pages = {137--152},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2016},
     mrnumber = {3590211},
     zbl = {06697287},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a4/}
}
TY  - JOUR
AU  - Gaset, Jordi
AU  - Prieto-Martínez, Pedro D.
AU  - Román-Roy, Narciso
TI  - Variational principles and symmetries on fibered multisymplectic manifolds
JO  - Communications in Mathematics
PY  - 2016
SP  - 137
EP  - 152
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a4/
LA  - en
ID  - COMIM_2016__24_2_a4
ER  - 
%0 Journal Article
%A Gaset, Jordi
%A Prieto-Martínez, Pedro D.
%A Román-Roy, Narciso
%T Variational principles and symmetries on fibered multisymplectic manifolds
%J Communications in Mathematics
%D 2016
%P 137-152
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a4/
%G en
%F COMIM_2016__24_2_a4
Gaset, Jordi; Prieto-Martínez, Pedro D.; Román-Roy, Narciso. Variational principles and symmetries on fibered multisymplectic manifolds. Communications in Mathematics, Tome 24 (2016) no. 2, pp. 137-152. http://geodesic.mathdoc.fr/item/COMIM_2016__24_2_a4/