The Legendre transformation

W. M. Tulczyjew

Annales de l'I.H.P. Physique théorique (1977)

  • Volume: 27, Issue: 1, page 101-114
  • ISSN: 0246-0211

How to cite

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Tulczyjew, W. M.. "The Legendre transformation." Annales de l'I.H.P. Physique théorique 27.1 (1977): 101-114. <http://eudml.org/doc/75946>.

@article{Tulczyjew1977,
author = {Tulczyjew, W. M.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {1},
pages = {101-114},
publisher = {Gauthier-Villars},
title = {The Legendre transformation},
url = {http://eudml.org/doc/75946},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Tulczyjew, W. M.
TI - The Legendre transformation
JO - Annales de l'I.H.P. Physique théorique
PY - 1977
PB - Gauthier-Villars
VL - 27
IS - 1
SP - 101
EP - 114
LA - eng
UR - http://eudml.org/doc/75946
ER -

References

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  1. [1] R. Abraham and J.E. Marsden, Foundations of mechanics. Benjamin, New York, 1967. Zbl0158.42901
  2. [2] C. Caratheodory, Variationsrechnung und partielle Differentialgleichungen erster Ordnung. B. G. Teubner, Leipzig und Berlin, 1935. Zbl0011.35603JFM61.0547.01
  3. [3] A. Frölicher and A. Nijenhuis, Theory of vector valued differential forms. Nederl. Akad. Wetensch. Proc. (Ser. A), t. 59, 1956, p. 338-359. Zbl0079.37502MR82554
  4. [4] J. Sniatycki and W.M. Tulczyjew, Generating forms of Lagrangian submanifolds. Indiana Univ. Math. J., t. 22, 1972, p. 267-275. Zbl0237.58002MR305297
  5. [5] J. Sniatycki and W.M. Tulczyjew, Canonical dynamics of relativistic charged particles. Ann. Inst. H. Poincaré (Sect. A), t. 15, 1971, p. 177-187. Zbl0231.70013MR297309
  6. [6] W.M. Tulczyjew, Hamiltonian systems, Lagrangian systems and the Legendre transformation. Symposia Mathematica, t. 14, 1974, p. 247-258. Zbl0304.58015MR388451
  7. [7] W.M. Tulczyjew, Sur la différentielle de Lagrange. C. R. Acad. Sci. (Ser. A) (Paris), t. 280, 1975, p. 1295-1298. Zbl0314.58018MR377987
  8. [8] W.M. Tulczyjew, A symplectic formulation of particle dynamics (to appear). Zbl0353.53021MR448429
  9. [9] W.M. Tulczyjew, Lagrangian submanifolds and Hamiltonian dynamics (to appear). 
  10. [10] W.M. Tulczyjew, Lagrangian submanifolds and Lagrangian dynamics (to appear). 
  11. [11] A. Weinstein, Symplectic manifolds and their Lagrangian submanifolds. Advances in Math., t. 6, 1971, p. 329-346. Zbl0213.48203MR286137

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