Linéarisation de certaines structures de Poisson de classe C ∞

N. Desolneux-Moulis

Publications du Département de mathématiques (Lyon) (1986)

  • Volume: 4/B, Issue: 4B, page 55-68
  • ISSN: 0076-1656

How to cite

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Desolneux-Moulis, N.. "Linéarisation de certaines structures de Poisson de classe $C^{\infty }$." Publications du Département de mathématiques (Lyon) 4/B.4B (1986): 55-68. <http://eudml.org/doc/274182>.

@article{Desolneux1986,
author = {Desolneux-Moulis, N.},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {Poisson structure; normal form; Hamilton implicit function theorem},
language = {fre},
number = {4B},
pages = {55-68},
publisher = {Université Claude Bernard - Lyon 1},
title = {Linéarisation de certaines structures de Poisson de classe $C^\{\infty \}$},
url = {http://eudml.org/doc/274182},
volume = {4/B},
year = {1986},
}

TY - JOUR
AU - Desolneux-Moulis, N.
TI - Linéarisation de certaines structures de Poisson de classe $C^{\infty }$
JO - Publications du Département de mathématiques (Lyon)
PY - 1986
PB - Université Claude Bernard - Lyon 1
VL - 4/B
IS - 4B
SP - 55
EP - 68
LA - fre
KW - Poisson structure; normal form; Hamilton implicit function theorem
UR - http://eudml.org/doc/274182
ER -

References

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  1. [1] J. Conn : Normal forms for analytic Poisson structures. Annals of Mathematics119 (1984)- p. 557-601. Zbl0553.58004MR744864
  2. [2] J. Conn : Normal forms for smooth Poisson structures. Annals of Mathematics121 (1985) - p. 565-593. Zbl0592.58025MR794374
  3. [3] N. Desolneux-Moulis : A propos du théorème de Newlander Nirenberg. Note C.R.A.S. tome 290, Juin 1980 - p. 1087. Zbl0463.58006MR587862
  4. [4] J. Dieudonné : Eléments d'Analyse vol. 5Chapitre XXI. Zbl0504.46001
  5. [5] R.S. Hamilton : The inverse function theorem of Nash and Moser. Bulletin of the A.M.S. , vol. 7 n° 1 - July 1982. Zbl0499.58003MR656198
  6. [6] R.S. Hamilton : Deformations of complex structures. Journal of Differential geometry12 (1977) - p. 1-45. Zbl0394.32010MR477158
  7. [7] A. Lichnerowicz : Les variétés de Poisson et leur algèbre de Lie associée. Journal of Differential geometry12 (1977) - p. 253-300 Zbl0405.53024MR501133
  8. [8] R.T. Seeley : Extension of C ∞ functions defined on a half space. Proceedings of the A.M.S. vol. 15 (1964) - p. 625-626. Zbl0127.28403MR165392

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