Some results on the calculus of variations on jet spaces

L. Mangiarotti; M. Modugno

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 39, Issue: 1, page 29-43
  • ISSN: 0246-0211

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Mangiarotti, L., and Modugno, M.. "Some results on the calculus of variations on jet spaces." Annales de l'I.H.P. Physique théorique 39.1 (1983): 29-43. <http://eudml.org/doc/76207>.

@article{Mangiarotti1983,
author = {Mangiarotti, L., Modugno, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Lagrangian form; Poincare-Cartan form; critical section; Euler-Lagrange operator; variational symmetries},
language = {eng},
number = {1},
pages = {29-43},
publisher = {Gauthier-Villars},
title = {Some results on the calculus of variations on jet spaces},
url = {http://eudml.org/doc/76207},
volume = {39},
year = {1983},
}

TY - JOUR
AU - Mangiarotti, L.
AU - Modugno, M.
TI - Some results on the calculus of variations on jet spaces
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 39
IS - 1
SP - 29
EP - 43
LA - eng
KW - Lagrangian form; Poincare-Cartan form; critical section; Euler-Lagrange operator; variational symmetries
UR - http://eudml.org/doc/76207
ER -

References

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  1. [1] R. Courant and D. Hilbert, Methods of Mathematical Physics, t. 1, New York and London, 1953. Zbl0051.28802
  2. [2] P.L. Garcia, The Poincaré-Cartan Invariant in the Calculus of Variations, Symposia Mathematica, t. 14, 1974, p. 219-246. Zbl0303.53040MR406246
  3. [3] H. Goldschmidt and S. Sternberg, The Hamilton-Cartan Formalism in the Calculus of Variations, Ann. Inst. Fourier, Grenoble, t. 23 (1), 1973, p. 203-267. Zbl0243.49011MR341531
  4. [4] R. Hermann, Geometry, Physics and Systems, M. Dekker, Inc., New York, 1973. Zbl0285.58001MR494183
  5. [5] E.L. Hill, Hamilton's Principle and the Conservation Theorems of Mathematical Physics, Reviews of Modern Physics, t. 20 (3), 1951, p. 253-260. Zbl0044.38509MR44959
  6. [6] D. Krupka, Some Geometric Aspects of Variational Problems in Fibered Manifolds, Folia Fac. Scie. Nat. Univ. Purkyniane Brunensis, t. 14, Opus 10, 1973, p. 1-65. 
  7. [7] B.A. Kupershmidt, Geometry of Jet Bundles and the Structure of Lagrangian and Hamiltonian Formalisms, Lecture Notes in Mathematics, t. 775, 1979, p. 162-218. Zbl0439.58016MR569303
  8. [8] L. Mangiarotti and M. Modugno, New Operators on Jet Spaces, to appear. MR735661
  9. [9] R. Ouzilou, Expression Symplectique des Problèmes Variationnels, Symposia Mathematica, t. 14, 1974, p. 85-98. Zbl0307.58002MR385923
  10. [10] J. Śniatycki, On the Geometric Structure of Classical Field Theory in Lagrangian Formulation, Proc. Camb. Phil. Soc., t. 68, 1970, p. 475-484. Zbl0197.18501MR261936
  11. [11] A. Trautmann, Noether Equations and Conservation Laws, Comm. Math. Phys., t. 6, 1967, p. 248-261. Zbl0172.27803MR220470
  12. [12] W.M. Tulczyjew, The Euler-Lagrange Resolution, Lecture Notes in Mathematics, t. 836, 1980, p. 22-48. Zbl0456.58012MR607685

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