Geodesic
Jets and the variational calculus
Communications in Mathematics, Tome 29 (2021) no. 1, pp. 91-114.

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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.
Classification : 58A20, 58E30
Keywords: Jets; Calculus of variations 
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     title = {Jets and the variational calculus},
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Saunders, David J. Jets and the variational calculus. Communications in Mathematics, Tome 29 (2021) no. 1, pp. 91-114. http://geodesic.mathdoc.fr/item/COMIM_2021__29_1_a5/