Variational calculus in several variables : a hamiltonian approach

A. Echeverría Enríquez; M. C. Muñoz Lecanda

Annales de l'I.H.P. Physique théorique (1992)

  • Volume: 56, Issue: 1, page 27-47
  • ISSN: 0246-0211

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Echeverría Enríquez, A., and Muñoz Lecanda, M. C.. "Variational calculus in several variables : a hamiltonian approach." Annales de l'I.H.P. Physique théorique 56.1 (1992): 27-47. <http://eudml.org/doc/76559>.

@article{EcheverríaEnríquez1992,
author = {Echeverría Enríquez, A., Muñoz Lecanda, M. C.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Hamiltonian formulation; variational calculus; classical field theory; Lagrangian formulation},
language = {eng},
number = {1},
pages = {27-47},
publisher = {Gauthier-Villars},
title = {Variational calculus in several variables : a hamiltonian approach},
url = {http://eudml.org/doc/76559},
volume = {56},
year = {1992},
}

TY - JOUR
AU - Echeverría Enríquez, A.
AU - Muñoz Lecanda, M. C.
TI - Variational calculus in several variables : a hamiltonian approach
JO - Annales de l'I.H.P. Physique théorique
PY - 1992
PB - Gauthier-Villars
VL - 56
IS - 1
SP - 27
EP - 47
LA - eng
KW - Hamiltonian formulation; variational calculus; classical field theory; Lagrangian formulation
UR - http://eudml.org/doc/76559
ER -

References

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  3. [3] J. Cariñena, C. Lopez and N. Román, Geometric Study of the Connection Between Lagrangian and Hamiltonian Constraints, J. Geom. Phys., Vol. 4, No. 3, 1987, pp. 315-334. Zbl0657.58012MR957017
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  5. [5] P.L. García, The Poincaré-Cartan Invariant in the Calculus of Variations, Symposia Mathematica, Vol. 14, 1973, pp. 219-240. Zbl0303.53040MR406246
  6. [6] H. Goldschmidt and S. Sternberg, The Hamilton-Cartan Formalism in the Calculus of Variations, Ann. Inst. Fourier Grenoble, Vol. 23, No. 1, 1973, pp. 203-267. Zbl0243.49011MR341531
  7. [7] H. Goldschmidt, Integrability Criteria for Systems of Nonlinear Partial Differential Equations, J. Diff. Geom.1, 1967, pp. 269-307. Zbl0159.14101MR226156
  8. [8] M. Gotay, J. Isemberg, J. Marsden, R. Montgomery, J. Sniatycki and P. Yasskin, Momentum Map and the Hamiltonian Treatment of Classical Field Theories with Constraints, preprint. 
  9. [9] M. Gotay, A Multisymplectic Framework for Classical Field Theory and the Calculus of Variations, preprint. Zbl0741.70012
  10. [10] M. De Léon and P. Rodrigues, Generalized Classical Mechanics and Field Theory, North Holland, 1985. Zbl0581.58015MR808964
  11. [11] R. Ouzilou, Expression symplectique des problèmes variationels, Symp. Math., Vol. 14, 1973, pp. 85-98. Zbl0307.58002MR385923
  12. [12] D.J. Saunders, The Geometry of Jet Bundles, London Math. Soc. Lect. Notes Ser., No. 142, Cambridge Univ. Press, 1989. Zbl0665.58002MR989588
  13. [13] M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. I, Publish or Perish, Berkeley, 1979. 

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