Exterior differential systems and the calculus of variations / Phillip A. Griffiths.
15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ̃liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Va...
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Full Text (via Springer) |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston :
Birkhäuser,
1983.
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| Series: | Progress in mathematics (Boston, Mass.) ;
v. 25. |
| Subjects: |
Table of Contents:
- 0. Preliminaries
- I. Euler-Lagrange Equations for Differential Systems with One Independent Variable
- II. First Integrals of the Euler-Lagrange System; Noether's Theorem and Examples
- III. Euler Equations for Variational Problems in Homogeneous Spaces
- IV. Endpoint Conditions; Jacobi Equations and the 2nd Variation; Conjugate Points; Fields and the Hamilton-Jacobi Equation; the Lagrange Problem
- Appendix: Miscellaneous Remarks and Examples
- a) Problems with Integral Constraints; Examples
- b) Classical Problems Expressed in Moving Frames.