Variétés de Poisson et feuilletages

André Lichnerowicz

Annales de la Faculté des sciences de Toulouse : Mathématiques (1982)

  • Volume: 4, Issue: 3-4, page 195-262
  • ISSN: 0240-2963

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Lichnerowicz, André. "Variétés de Poisson et feuilletages." Annales de la Faculté des sciences de Toulouse : Mathématiques 4.3-4 (1982): 195-262. <http://eudml.org/doc/73136>.

@article{Lichnerowicz1982,
author = {Lichnerowicz, André},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {Poisson manifold; Schouten bracket; Poisson bracket; homothetic vector field; de Rham class; linear holonomy; leaf classes; Poisson Lie algebra; characteristic form; Lagrangian foliations},
language = {fre},
number = {3-4},
pages = {195-262},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Variétés de Poisson et feuilletages},
url = {http://eudml.org/doc/73136},
volume = {4},
year = {1982},
}

TY - JOUR
AU - Lichnerowicz, André
TI - Variétés de Poisson et feuilletages
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1982
PB - UNIVERSITE PAUL SABATIER
VL - 4
IS - 3-4
SP - 195
EP - 262
LA - fre
KW - Poisson manifold; Schouten bracket; Poisson bracket; homothetic vector field; de Rham class; linear holonomy; leaf classes; Poisson Lie algebra; characteristic form; Lagrangian foliations
UR - http://eudml.org/doc/73136
ER -

References

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  1. [1] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, D. Sternheimer. Ann. of Physics, t. 111, 1978, p. 61-110. Zbl0377.53024MR496157
  2. [2] N. Bernstein et B.I. Rosenfeld. «Functional Analysis 6».1972, p. 68-69. 
  3. [3] R. Bott. Proc. Symp. Pure Math. Amer. Mat. Soc. t. 16, 1970, p. 127-131. Zbl0206.50501MR266248
  4. [4] R. Bott et A. Haefliger. Bull. Amer. Math. Soc.78,1972, p. 1039-1044. Zbl0262.57010MR307250
  5. [5] S. Guelorguet et G. Joubert. C.R. Acad. Sci. ParisA t. 277, 1973, p. 11-14. Zbl0257.57010MR346802
  6. [6] D.L. Johnson et L.B. Whitt. J. of Diff. Geom. t. 15, 1980, p. 225-236. Zbl0444.57017MR614368
  7. [7] A. Lichnerowicz. J. of Diff. Geom. t. 12, 1977, p. 253-300. Zbl0405.53024MR501133
  8. [8] A. Lichnerowicz. C.R. Acad. Sci.ParisA t 285, 1977, p. 455-461, J. de Mat. pures et appl.57,1978, p. 453-488. Zbl0361.53036MR455037
  9. [9] A. Lichnerowicz. C.R. Acad. Sci.ParisA t 286, 1978, p. 1141-1145, Ann. Fac. Sci. Toulouse1, 1979, p. 45-76. Zbl0398.57008
  10. [10] A. Lichnerowicz. Ann. Inst. Fourier32, 1981, p. 157-209. Zbl0465.53025MR658948
  11. [11] B. Reinhart. Coll. Geom. Diff. Santiago de Compostela1972, p. 47-52 ; SpringerLecture Notes1974 ; Ann. of Math. t 69, 1959, p. 119-132. Zbl0291.57017
  12. [12] B. Reinhart et J. Wood. Proc. Amer. Math. Soc.38, 1973, p. 427-430. Zbl0263.57010MR310907
  13. [13] B. Reinard. «The second fundamental form of a plane field». Preprint 1977. 
  14. [14] J.A. Schouten. «On the differential operators of first order in tensor calculus». Conv. Int. Geom. Diff. Italia1953 Ed. CremoneseRoma1954, p. 1-7. A. Nijenhuis. Indag. Math.17, 1955, p. 390-403. Zbl0059.15301MR63750
  15. [15] A. Kirillov. Fund. Anal. Appl. t 9, 1975, p. 
  16. [16] T. Nagano. J. of Diff. Geom.2, 1968, p. 253-264. Zbl0172.46903
  17. [17] A. Lichnerowicz. J. Math. pures et appl.56, 1977, p. 183-204 ; Ve congrès de la Réunion des Mathématiciens d'expression latine, Palma1977, p. 194-206. MR494336
  18. [18] R. Hermann. Proc. Amer. Math. Soc.11, 1960, p. 236-242 ; Ann. of Math.72, 1960, p. 445-457. Zbl0112.13701MR112151
  19. [19] J. Vey. Comm. Math. Helv. t 50, 1975, p. 421-454. Zbl0351.53029MR420753
  20. [20] O.M. Neroslavsky et A.T. Vlassov. C.R. Acad. Sci.ParisI t 292, 1981, p. 71. Zbl0471.58034MR610151
  21. [21] M. Gerstenhaber. Ann. of Math. t 79,1964, p. 59-90. Zbl0123.03101MR171807

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