We obtain the cohomology of the variational bicomplex on the infinite order
jet space of a smooth fiber bundle in the class of exterior forms of finite jet
order. This provides a solution of the global inverse problem of the calculus
of variations of finite order on fiber bundles.
@article{0006074,
author = {Giachetta, G. and Mangiarotti, L. and Sardanashvily, G.},
title = {Cohomology of the variational bicomplex on the infinite order jet space},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0006074}
}
Giachetta, G.; Mangiarotti, L.; Sardanashvily, G. Cohomology of the variational bicomplex on the infinite order jet space. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006074/