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

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  • Gennadi Sardanashvily

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.

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  • Gennadi Sardanashvily, 2002. "Cohomology of the variational complex in the class of exterior forms of finite jet order," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 30, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:134706
    DOI: 10.1155/S0161171202012097
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    Cited by:

    1. G. Sardanashvily & W. Wachowski, 2017. "Differential Calculus on -Graded Manifolds," Journal of Mathematics, Hindawi, vol. 2017, pages 1-19, January.

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