Le formalisme de contact en mécanique classique et relativiste

J. Bryant

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

  • Volume: 38, Issue: 2, page 121-152
  • ISSN: 0246-0211

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Bryant, J.. "Le formalisme de contact en mécanique classique et relativiste." Annales de l'I.H.P. Physique théorique 38.2 (1983): 121-152. <http://eudml.org/doc/76189>.

@article{Bryant1983,
author = {Bryant, J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {reduction of N-body problem; homothetic vector field; Lichnerowicz exact contact manifolds; foliation; characteristic vector field; transversality; exact canonical manifold},
language = {fre},
number = {2},
pages = {121-152},
publisher = {Gauthier-Villars},
title = {Le formalisme de contact en mécanique classique et relativiste},
url = {http://eudml.org/doc/76189},
volume = {38},
year = {1983},
}

TY - JOUR
AU - Bryant, J.
TI - Le formalisme de contact en mécanique classique et relativiste
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 38
IS - 2
SP - 121
EP - 152
LA - fre
KW - reduction of N-body problem; homothetic vector field; Lichnerowicz exact contact manifolds; foliation; characteristic vector field; transversality; exact canonical manifold
UR - http://eudml.org/doc/76189
ER -

References

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  1. [1] R. Abraham et J. Marsden, Foundations of Mechanics. Benjamin-Cummings, Reading Mass, 1978. Zbl0393.70001MR515141
  2. [2] V. Arnold, Méthodes mathématiques de la mécanique classique. Mir, Moscou, 1976. Zbl0385.70001MR474391
  3. [3] J. Bryant, C. R. Acad. Sci. Paris, Ser. A, t. 291, 1980, p. 205-208. Zbl0454.58008MR594292
  4. [4] C. Carathéodory, Calculus of variations and partial differential equations. Holden-Day, San Francisco, 1965. Zbl0134.31004MR192372
  5. [5] C. Godbillon, Géométrie différentielle et mécanique analytique. Hermann, Paris, 1969. Zbl0174.24602MR242081
  6. [6] M. Irigoyen, Cel. Mech., t. 9, 1974, p. 491-506. Zbl0309.70015
  7. [7] A. Lichnerowicz, Variétés symplectiques, variétés canoniques et systèmes dynamiques dans Topics in differential geometry. Academic Press, New York, 1976. Zbl0334.53045MR413180
  8. [8] R. Mcgehee, Triple collision in Newtonian gravitational systems dansLecture Notes in physics, Springer, New York, t. 38, 1975. Zbl0331.70008MR495349
  9. [9] J.M. Souriau, Structure des systèmes dynamiques, Dunod, Paris, 1970. Zbl0186.58001MR260238

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