Cohomology of the variational bicomplex on the infinite order jet space

Details Cohomology of the variational bicomplex on the infinite order jet space Cohomology of the variational bicomplex on the infinite order jet space

2000-06-09

arxiv.org/abs/math/0006074v1

Mathematics

Differential Geometry

18 pages

Scientific paper

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.

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