Geodesic fields in the calculus of variations of multiple integrals depending on derivatives of higher order

Author:

Szapiro T.

Publisher

Springer Berlin Heidelberg

Reference5 articles.

1. P.Dedecker-Calcul des Variations,Formes Differentielles et Champs Geodesiques,Colloques Internationales du CNRS, Strassbourg 1953.

2. P.Dedecker-On the generalization of symplectic geometry to multiple integrals in the calculus of variations, Lecture Notes in Mathematics 570,p.394–456.

3. H. Goldschmidt,S. Sternberg-The Hamilton-Cartan formalism in the calculus of variations,Ann.Inst.Fourier 23 1973 p.203–267.

4. S.Sternberg-Some preliminary remarks on the formal variational calculus of Gelfand and Dikki,Lecture Notes in Mathematics 670.

5. H. Weyl-Geodesic fields, Ann. of Math. 36 (1935), p.607–629.

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1. An Exterior Differential Systems Approach to the Cartan Form;Symplectic Geometry and Mathematical Physics;1991

2. A Multisymplectic Framework for Classical Field Theory and the Calculus of Variations;Mechanics, Analysis and Geometry: 200 Years After Lagrange;1991

3. A Darboux theorem for multi-symplectic manifolds;Letters in Mathematical Physics;1988-08

4. The calculus of variations for multiple integrals depending on higher order derivatives;Annals of Global Analysis and Geometry;1984-02

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