@article{AIHPA_1977__27_1_101_0,
author = {Tulczyjew, W. M.},
title = {The {Legendre} transformation},
journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
pages = {101--114},
year = {1977},
publisher = {Gauthier-Villars},
volume = {27},
number = {1},
mrnumber = {494271},
zbl = {0365.58011},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1977__27_1_101_0/}
}
TY - JOUR AU - Tulczyjew, W. M. TI - The Legendre transformation JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1977 SP - 101 EP - 114 VL - 27 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1977__27_1_101_0/ LA - en ID - AIHPA_1977__27_1_101_0 ER -
Tulczyjew, W. M. The Legendre transformation. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 27 (1977) no. 1, pp. 101-114. https://www.numdam.org/item/AIHPA_1977__27_1_101_0/
[1] and , Foundations of mechanics. Benjamin, New York, 1967. | Zbl
[2] , Variationsrechnung und partielle Differentialgleichungen erster Ordnung. B. G. Teubner, Leipzig und Berlin, 1935. | Zbl | JFM
[3] and , Theory of vector valued differential forms. Nederl. Akad. Wetensch. Proc. (Ser. A), t. 59, 1956, p. 338-359. | Zbl | MR
[4] and , Generating forms of Lagrangian submanifolds. Indiana Univ. Math. J., t. 22, 1972, p. 267-275. | Zbl | MR
[5] and , Canonical dynamics of relativistic charged particles. Ann. Inst. H. Poincaré (Sect. A), t. 15, 1971, p. 177-187. | Zbl | MR | Numdam
[6] , Hamiltonian systems, Lagrangian systems and the Legendre transformation. Symposia Mathematica, t. 14, 1974, p. 247-258. | Zbl | MR
[7] , Sur la différentielle de Lagrange. C. R. Acad. Sci. (Ser. A) (Paris), t. 280, 1975, p. 1295-1298. | Zbl | MR
[8] , A symplectic formulation of particle dynamics (to appear). | Zbl | MR
[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. | Zbl | MR





