The hamiltonian formalism in higher order variational problems

Mauro Francaviglia; Demeter Krupka

Annales de l'I.H.P. Physique théorique (1982)

  • Volume: 37, Issue: 3, page 295-315
  • ISSN: 0246-0211

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Francaviglia, Mauro, and Krupka, Demeter. "The hamiltonian formalism in higher order variational problems." Annales de l'I.H.P. Physique théorique 37.3 (1982): 295-315. <http://eudml.org/doc/76176>.

@article{Francaviglia1982,
author = {Francaviglia, Mauro, Krupka, Demeter},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {generalized Poincare-Cartan form; equivalence of Hamiltonian and Lagrangian systems; regular Lagrangians; higher order},
language = {eng},
number = {3},
pages = {295-315},
publisher = {Gauthier-Villars},
title = {The hamiltonian formalism in higher order variational problems},
url = {http://eudml.org/doc/76176},
volume = {37},
year = {1982},
}

TY - JOUR
AU - Francaviglia, Mauro
AU - Krupka, Demeter
TI - The hamiltonian formalism in higher order variational problems
JO - Annales de l'I.H.P. Physique théorique
PY - 1982
PB - Gauthier-Villars
VL - 37
IS - 3
SP - 295
EP - 315
LA - eng
KW - generalized Poincare-Cartan form; equivalence of Hamiltonian and Lagrangian systems; regular Lagrangians; higher order
UR - http://eudml.org/doc/76176
ER -

References

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  2. [2] A. Trautman, Invariance of Lagrangian systems, in General Relativity: Papers in honour of J. L. Synge, L. o'Raifeartaigh ed., Clarendon Press, Oxford, 1972, p. 85-99. Zbl0273.58004MR503424
  3. [3] H. Goldschmidt, S. Sternberg, Ann. Inst. Fourier (Grenoble), t. 23, 1973, p. 203- 267. Zbl0243.49011MR341531
  4. [4] P.L. Garcia, The Poincaré-Cartan Invariant in the Calculus of Variations, in Symposia Math., t. 14, Academic Press, New York, 1974, p. 219-246. Zbl0303.53040MR406246
  5. [5] P.L. Garcia, A. Péréz-Rendon, Comm. Math. Phys., t. 13, 1969, p. 24-44. Zbl0175.24703MR256681
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  9. [9] D. Krupka, Natural Lagrangian Structures, Banach Center Publications (Differential Geometry Semester, Warsaw, October 1979). Zbl0572.58007
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  12. [12] R. Ragionieri, R. Ricci, Boll. Un. Mat. Italiana (5), t. 18 B, 1981, p. 119-130. Zbl0481.58019MR613378
  13. [13] P.R. Rodrigues, Comptes Rendus Ac. Sci. Paris, t. 282 A, 1976, p. 1307-1309. Zbl0329.53031
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  15. [15] V. Aldaya, J.A. de Azcárrága, J. Math. Phys., t. 19 (9), 1978, p. 1869-1875. Zbl0415.58010MR496116
  16. [16] R. Hermann, Differential Geometry and the Calculus of Variations. Academic Press, New York, 1968. Zbl0219.49023MR233313
  17. [17] D. Krupka, Přirozené Lagrangeovy struktury, DrSc. Dissertation, Mathematical Institute of the ČSAV, Prague, 1978. MR527720
  18. [18] D. Krupka, Lepagean Forms and Higher Order Variational Theories, in : Proceedings IUTAM-ISIMM Symposium, Torino June 1982, A. LICHEROWICZ et al. eds. (to appear in 1983). Zbl0572.58003MR773488

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