Skip to main content
SpringerLink
Log in

Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Bibliographie

  1. Arnold V. I.,One dimensional cohomology of the Lie algebra of non divergent vector fields and rotation number of dynamics systems, Funct. Analis. Priloz. Vol 13 No. 4, Oct, déc. 1969 pp 77–78.

    Google Scholar 

  2. Banyaga, A.,Sur le groupe des difféomorphismes symplectiques. Springer Lecture Notes No 484, pp 50–56.

  3. Banyaga, A.,On the group of diffeomorphisms preserving an exact symplectic form, A paraitre dans les comptes rendus du C.I.M.E., Août 1976, Varenna, Italie.

  4. Banyaga, A.,Sur la structure du groupe des difféomorphismes, A paraitre.

  5. Boothby, W. M.,Transitivity of automorphisms of certain geometric structures, Trans. Amer. Math. Soc.137 (1969), 93–100.

    Article  MathSciNet  MATH  Google Scholar 

  6. Calabi, E.,On the group of automorphisms of a symplectic manifold. Problems in Analysis (symposium in honour of S. Bochner), Princeton University Press (1970) 1–26.

  7. Epstein, D. B. A.,The simplicity of certain groups of homeomorphisms, Composition Mathematica Vol. 22 Fasc. 2 (1970), 165–173.

    MATH  Google Scholar 

  8. Herman, M. R.,Sur le groupe des difféomorphismes du tore, Ann. Inst. Fourier,23-2 (1974) 75–86.

    Google Scholar 

  9. Kobayashi, S. etNomizu, K.,Foundation of differential geometry, Tome I, Interscience Publishers, 1963.

  10. Martinet, J.,Sur les singularités des formes différentielles. Ann. Inst. Fourier,20 (1970) 95–178.

    MathSciNet  MATH  Google Scholar 

  11. Mather, J. N.,Commutators of diffeomorphisms I et II, Comments. Math. Helv.49 (1974), 512–528 et50 (1975) 33–40.

    MathSciNet  MATH  Google Scholar 

  12. Moser, J.,On the volume-element on manifolds, Trans. Amer. Math. Soc.120 (1965), 280–296.

    Article  Google Scholar 

  13. Rousseau, G.,Difféomorphismes d'une variété symplectique non compacte, A paraitre.

  14. Schwartz, L.,Séminaire 1953–1954: Produits tensoriels d'espaces vectoriels topologiques, Faculté des Sciences, Paris, (1954).

  15. Sergeraert, F.,Un théorème des fonctions implicites sur certains espaces de Fréchet et quelques applications, Ann. Scient. Ec. Nor. Sup. 4 ème série,5 (1972) 599–660.

    MathSciNet  MATH  Google Scholar 

  16. Thurston, W.,On the structure of volume preserving diffeomorphisms, A paraitre.

  17. —,Foliations and group of diffeomorphisms, Bull. Amer. Math. Soc. V.80 (1974), 304–307.

    Article  MathSciNet  MATH  Google Scholar 

  18. Treves, F.,Topological vector space, distributions and kernels, Academic Press, New York, 1967.

    Google Scholar 

  19. Weil, A.,Variétés kählériennes, Hermann, Paris, 1958.

    MATH  Google Scholar 

  20. Weinstein, A.,Symplectic manifolds and their lagrangian submanifolds, Advances in Math.6 (1971), 329–345.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Section de Mathématiques, Université de Genève, 2-4 Rue du Lièvre, CH 1211, Genève 24, SUISSE

    Augustin Banyaga

Authors
  1. Augustin Banyaga
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Banyaga, A. Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique. Commentarii Mathematici Helvetici 53, 174–227 (1978). https://doi.org/10.1007/BF02566074

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02566074

Search

Navigation