Examples from the calculus of variations. III. Legendre and Jacobi conditions

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Examples from the calculus of variations. III. Legendre and Jacobi conditions. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 93-111

MSC: 49-01, 49K10, 49K15, 49K27, 58A10, 58E30 | MR 1826474 | Zbl 0980.49024

Keywords:
Legendre condition; Jacobi condition; Poincaré-Cartan form; Lagrange problem; degenerate variational integral

Summary:

References:

[1] J. Chrastina: Examples from the calculus of variations I. Nondegenerate problems. Math. Bohem. 125 (2000), 55–76. MR 1752079 | Zbl 0968.49001

[2] W. Fulton, J. Harris: Representation Theory. Graduate Texts in Mathematics 129, Springer, 1996. MR 1153249

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