Summary: The -th order variational sequence is the quotient sequence of the De Rham sequence on the th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite) variational bicomplexes.
@article{701717,
title = {On the invariant variational sequences in mechanics},
booktitle = {Proceedings of the 22nd Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {2003},
pages = {[185]-190},
mrnumber = {MR1982445},
zbl = {1028.58021},
url = {http://dml.mathdoc.fr/item/701717}
}
Šeděnková, Jana. On the invariant variational sequences in mechanics, dans Proceedings of the 22nd Winter School "Geometry and Physics", GDML_Books, (2003), pp. [185]-190. http://gdmltest.u-ga.fr/item/701717/