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Cohomology of the variational bicomplex on the infinite order jet space

G. Giachetta·L. Mangiarotti·G. Sardanashvily
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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.

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G. Giachetta, L. Mangiarotti, G. Sardanashvily. 2000-06-09. Cohomology of the variational bicomplex on the infinite order jet space. https://arxiv.org/abs/math/0006074

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