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arxiv: math/0006074 · v1 · submitted 2000-06-09 · 🧮 math.DG · math-ph· math.MP

Cohomology of the variational bicomplex on the infinite order jet space

classification 🧮 math.DG math-phmath.MP
keywords orderbicomplexcohomologyfiberfiniteinfinitespacevariational
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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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