Displaying similar documents to “A differentiable structure in the set of all bundle-sections over compact subsets”

Jets and the variational calculus

David J. Saunders (2021)

Communications in Mathematics

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We review the approach to the calculus of variations using Ehresmann's theory of jets. We describe different types of jet manifold, different types of variational problem and different cohomological structures associated with such problems.

On the invariant variational sequences in mechanics

Šeděnková, Jana

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Summary: The r -th order variational sequence is the quotient sequence of the De Rham sequence on the r th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory...