@article{AIHPA_1977__27_1_101_0, author = {Tulczyjew, Woldzimierz M.}, title = {The Legendre transformation}, journal = {Annales de l'I.H.P. Physique th\'eorique}, volume = {27}, year = {1977}, pages = {101-114}, mrnumber = {494271}, zbl = {0365.58011}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPA_1977__27_1_101_0} }
Tulczyjew, W. M. The Legendre transformation. Annales de l'I.H.P. Physique théorique, Tome 27 (1977) pp. 101-114. http://gdmltest.u-ga.fr/item/AIHPA_1977__27_1_101_0/
[1] Foundations of mechanics. Benjamin, New York, 1967. | Zbl 0158.42901
and ,[2] Variationsrechnung und partielle Differentialgleichungen erster Ordnung. B. G. Teubner, Leipzig und Berlin, 1935. | JFM 61.0547.01 | Zbl 0011.35603
,[3] Theory of vector valued differential forms. Nederl. Akad. Wetensch. Proc. (Ser. A), t. 59, 1956, p. 338-359. | MR 82554 | Zbl 0079.37502
and ,[4] Generating forms of Lagrangian submanifolds. Indiana Univ. Math. J., t. 22, 1972, p. 267-275. | MR 305297 | Zbl 0237.58002
and ,[5] Canonical dynamics of relativistic charged particles. Ann. Inst. H. Poincaré (Sect. A), t. 15, 1971, p. 177-187. | Numdam | MR 297309 | Zbl 0231.70013
and ,[6] Hamiltonian systems, Lagrangian systems and the Legendre transformation. Symposia Mathematica, t. 14, 1974, p. 247-258. | MR 388451 | Zbl 0304.58015
,[7] Sur la différentielle de Lagrange. C. R. Acad. Sci. (Ser. A) (Paris), t. 280, 1975, p. 1295-1298. | MR 377987 | Zbl 0314.58018
,[8] A symplectic formulation of particle dynamics (to appear). | MR 448429 | Zbl 0353.53021
,[9] Lagrangian submanifolds and Hamiltonian dynamics (to appear).
,[10] Lagrangian submanifolds and Lagrangian dynamics (to appear).
,[11] Symplectic manifolds and their Lagrangian submanifolds. Advances in Math., t. 6, 1971, p. 329-346. | MR 286137 | Zbl 0213.48203
,