**DIPS 5/2003**[tex source, PostScript, PDF file, dvi]-
**Title:**Green formula and Legendre transformation.**Authors:**R. J. Alonso-Blanco and A. M. VinogradovIt is shown that the Legendre transformation and related hamiltonian formalism are a geometrical interpretation of the Green formula in the calculus of variations. The particular case of higher order mechanics is considered in details.

16 pages, LaTeX-2e (AmS-LaTeX).

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