Cohomology of the variational bicomplex on the infinite order jet space
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0006074,
title = {Cohomology of the variational bicomplex on the infinite order jet space},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:math/0006074},
year = {2007}
}
Comments
18 pages