A new geometrical setting for classical field theories is introduced. This description is strongly inspired by the one due to Skinner and Rusk for singular lagrangian systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is automatically included.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-10,
author = {M. de Le\'on and J. C. Marrero and D. Mart\'\i n de Diego},
title = {A new geometric setting for classical field theories},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {189-209},
zbl = {1036.70016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-10}
}
M. de León; J. C. Marrero; D. Martín de Diego. A new geometric setting for classical field theories. Banach Center Publications, Tome 60 (2003) pp. 189-209. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc59-0-10/