Cohomology of the variational complex in the class of exterior forms of finite jet order

Gennadi Sardanashvily

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-9

Abstract:

We obtain the cohomology of the variational complex on the infinite-order jet space of a smooth fiber bundle in the class of exterior forms of finite jet order. In particular, this provides a solution of the global inverse problem of the calculus of variations of finite order on fiber bundles.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:134706

DOI: 10.1155/S0161171202012097

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