Chapitre V Géométrie du moment

M. Condevaux; P. Dazord; P. Molino

Publications du Département de mathématiques (Lyon) (1988)

  • Issue: 1B, page 131-160
  • ISSN: 0076-1656

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Condevaux, M., Dazord, P., and Molino, P.. "Chapitre V Géométrie du moment." Publications du Département de mathématiques (Lyon) (1988): 131-160. <http://eudml.org/doc/273380>.

@article{Condevaux1988,
author = {Condevaux, M., Dazord, P., Molino, P.},
journal = {Publications du Département de mathématiques (Lyon)},
language = {fre},
number = {1B},
pages = {131-160},
publisher = {Université Claude Bernard - Lyon 1},
title = {Chapitre V Géométrie du moment},
url = {http://eudml.org/doc/273380},
year = {1988},
}

TY - JOUR
AU - Condevaux, M.
AU - Dazord, P.
AU - Molino, P.
TI - Chapitre V Géométrie du moment
JO - Publications du Département de mathématiques (Lyon)
PY - 1988
PB - Université Claude Bernard - Lyon 1
IS - 1B
SP - 131
EP - 160
LA - fre
UR - http://eudml.org/doc/273380
ER -

References

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  2. [D-D] P. Dazord - T. Delzant, Le problème général des variables action-angles. Jour. of Diff. Geometry, 26 (2), (1987), 223-252. Zbl0634.58003MR906389
  3. [D-M] J.P. Dufour - P. Molino, Compactification des actions de ℝ n et variables action-angles à singularités, Preprint, Montpellier (1987). Zbl0752.58011MR1040872
  4. [Du] J.J. Duistermaat, On global action-angle variables, Comm. on Pure and Applied Math., 33 (1980), 687-706. Zbl0439.58014MR596430
  5. [E] H. EliassonHamiltonian systems with Poisson Commuting integrals, Thèse, Stokholm, (1984). 
  6. [F] E. Fedida, Sur les feuilletages de Lie, CR. Ac. Sci., Paris, 272 (1971), 999-1002. Zbl0218.57014MR285025
  7. [G-St]1 V. Guillemin - S. Sternberg, Convexity properties of the moment mapping, I, Invent. Math., 67 (1982), 491-513. Zbl0503.58017MR664117
  8. [G-St]2 V. Guillemin - S. Sternberg, Convexity properties of the moment mapping, II, Invent. Math., 77 (1984), 533-546. Zbl0561.58015MR759258
  9. [H] A. Haegliger, Structures feuilletées et cohomologie à valeurs dans un faisceau de groupoïdes, Comment. Math. Helvet, 32 (1958), 248-329. Zbl0085.17303MR100269
  10. [K] F. Kirwan, Convexity properties of the moment mapping, III, Invent. Math., 77 (1984), 547-552. Zbl0561.58016MR759257
  11. [Lib]1 P. Libermann, Sous-variétés et feuilletages symplectiquement réguliers, in Research Notes in Math.80, Pitmann (1983). Zbl0527.58013MR712164
  12. [Lib]2 P. Libermann, Problèmes d'équivalence en géométrie symplectique. Astérisque, 107-108 (1983), pp. 43-68. Zbl0529.53030
  13. [Lib-M] P. Libermann - C. M. Marle, Géométrie symplectique, bases de la mécanique. Publications Math.Université Paris VII (1986). Zbl0643.53001
  14. [Lic] A. Lichnerowicz, Les variétés de Poisson et leurs algèbres de Lie associées. Jour. of Dif. Geometry, 12 (1977), 253-300. Zbl0405.53024MR501133
  15. [So] J.M. Souriau. Structure des systèmes dynamiques, Dunod, Paris (1970) Zbl0186.58001MR260238
  16. [St] P. Stefan, Accessible sets, orbits, and foliations with singularities, Proc. London Math. Soc., 29 (1974), 699-713. Zbl0342.57015MR362395
  17. [Su] H.J. Sussmann, Orbits of families of vector fields and integrability of distributions. Trans. Am. Math. Soc., 180 (1973), 171-188. Zbl0274.58002MR321133
  18. [W] A. Weinstein, The local structure of Poisson manifolds, Journ. of Dif. Geometry, 18 (1983), 523-557. Zbl0524.58011MR723816

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