Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes

Ernesto Lacomba; Lucette Losco

Annales de l'I.H.P. Physique théorique (1986)

  • Volume: 45, Issue: 1, page 99-116
  • ISSN: 0246-0211

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Lacomba, Ernesto, and Losco, Lucette. "Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes." Annales de l'I.H.P. Physique théorique 45.1 (1986): 99-116. <http://eudml.org/doc/76332>.

@article{Lacomba1986,
author = {Lacomba, Ernesto, Losco, Lucette},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {variational principles; Euler equations; hydrodynamics; Riemannian manifolds; group of diffeomorphisms; Hamiltonian and contact vector fields},
language = {fre},
number = {1},
pages = {99-116},
publisher = {Gauthier-Villars},
title = {Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes},
url = {http://eudml.org/doc/76332},
volume = {45},
year = {1986},
}

TY - JOUR
AU - Lacomba, Ernesto
AU - Losco, Lucette
TI - Caractérisation variationnelle globale des flots canoniques et de contact dans leurs groupes de difféomorphismes
JO - Annales de l'I.H.P. Physique théorique
PY - 1986
PB - Gauthier-Villars
VL - 45
IS - 1
SP - 99
EP - 116
LA - fre
KW - variational principles; Euler equations; hydrodynamics; Riemannian manifolds; group of diffeomorphisms; Hamiltonian and contact vector fields
UR - http://eudml.org/doc/76332
ER -

References

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  1. [1] R. Abraham, J. Marsden, Foundations of Mechanics, 2nd. Ed. Benjamin-Cummings, New York, 1978. Zbl0393.70001MR515141
  2. [2] V. Arnold, Ann. Inst. Fourier (Grenoble), t. 16, 1966, p. 319-361. Zbl0148.45301
  3. [3] V. Arnold, Journal de Mécanique, t. 5, n° 1, 1966, p. 29-43. Zbl0161.22903
  4. [4] V. Arnold, Mathematical Methods of Classical Mechanics. Springer-Verlag, New York, 1978. Zbl0386.70001MR690288
  5. [5] D. Ebin, J. Marsden, Ann. of Math., t. 92, 1970, p. 102-163. Zbl0211.57401MR271984
  6. [6] C. Godbillon, Géométrie Différentielle et Mécanique Analytique. Hermann, Paris, 1969. Zbl0174.24602MR242081
  7. [7] E. Lacomba, Symplectic Geometry, Crumeyrolle, Grifone, Eds., Pitman Books, Londres, 1982, p. 66-75. MR712162
  8. [8] E. Lacomba, L. Losco, Group Theoretical Methods in Physics, K. B. Wolf, Ed., Lecture Notes in Physics, t. 135, Springer Verlag, New York, 1980, p. 122-128. MR651523
  9. [9] E. Lacomba, L. Losco, Physica, t. 114 A, 1982, p. 124-128. Zbl0512.58017MR678393
  10. [10] J. Leslie, Topology, t. 6, 1967, p. 263-271. Zbl0147.23601MR210147
  11. [11] L. Losco, C. R. Acad. Sci. Paris, t. 278 A, 1974, p. 1641-1643. Zbl0286.58008MR350777
  12. [12] J. Marsden, R. Abraham, Proc. Sympos. Pure Math., t. 16, Amer. Math. Soc., Providence, R. I., 1970, p. 237-243. Zbl0211.57402
  13. [13] H. Omori, Proc. Sympos. Pure Math., t. 15, Amer. Math. Soc., Providence, R. I., 1970, p. 167-184. Zbl0214.48805MR271983

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