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Jet manifold associated to a Weil bundle

Ricardo J. Alonso (2000)

Archivum Mathematicum

Given a Weil algebra A and a smooth manifold M , we prove that the set J A M of kernels of regular A -points of M , M ˇ A , has a differentiable manifold structure and M ˇ A J A M is a principal fiber bundle.

Jets and the variational calculus

David J. Saunders (2021)

Communications in Mathematics

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.

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