Jets and the variational calculus

Author:

Saunders David J.1

Affiliation:

1. Department of Mathematics , Faculty of Science University of Ostrava , 30. dubna 22, 701 03 Ostrava, Czech Republic

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference39 articles.

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2. [2] I.M. Anderson, T.E. Duchamp: Variational principles for second-order quasi-linear scalar equations. J. Diff. Eq. 51 (1) (1984) 1–47.

3. [3] D.E. Betounes: Extensions of the classical Cartan form. Phys. Rev. D 29 (1984) 599–606.

4. [4] É. Borel: Sur quelques points de la théorie des fonctions. Ann. scient. de l’École Norm. Sup. 3 (12) (1895) 9–55.

5. [5] C. Carathéodory: Über die Variationsrechnung bei mehrfachen Integralen. Acta Szeged Sect. Scient. Mathem. 4 (1929) 193–216.

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