Skip to main content

Integrales de periodes en geometries symplectique et isochore

Part of the Lecture Notes in Mathematics book series (LNM,volume 1416)

Keywords

  • Algebraic Manifold
  • Cette Situation
  • Symplectique Algebriquement
  • Nous Obtenons
  • Nous Trouvons

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. ADLER, P. Van MOERBEKE, Completely integrable systems, Kac-Moody Lie algebras and curves, Adv. in Math. 38 (3) (1980), 267–317.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. M. ADLER, P. Van MOERBEKE, Linearization of Hamiltonian systems, Jacobi varieties and representation theory, Adv. in Math. 38 (3) (1980), 318–379.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M. ADLER, P. Van MOERBEKE, Kowalevski’s asymptotic method, Kac-Moody Lie algebras and regularization, Commun. Math. Phys. 83 (1982), 83–106.

    CrossRef  MATH  Google Scholar 

  4. V.I. ARNOL’D, A theorem of Liouville concerning integrable problems of dynamics, Sibirsky Math. Zh. 4 (1963), 471–474.

    MathSciNet  MATH  Google Scholar 

  5. E. BRIESKORN, Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math. 2 (1970), 103–161.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Y. COLIN de VERDIERE, J. VEY, Le lemme de Morse isochore, Topology 18 (1979), 283–293.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. R. CUSHMAN, Geometry of the Energy-momentum mapping of the spherical pendulum, Centrum voor Wiskunde en Informatica, Newsletter 1 (1983), 4–18.

    MathSciNet  Google Scholar 

  8. R. CUSHMAN, H. KNORRER, The Energy-momentum mapping of the Lagrange top, Preprint no326, University of Utrecht (1984).

    Google Scholar 

  9. H. DUISTERMAAT, On global action-angles coordinates, Commun. on Pure and Appl. Math. 32 (1980), 687–706.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. H. ELIASSON, Hamiltonian systems with Poisson commuting integrals, Thèse à Stockholm (1984).

    Google Scholar 

  11. H. FLASCHKA, D.W. Mc LAUGHLIN, Canonically conjugate variables for the Korteweg-de Vries equation and the Toda lattice with periodic boundary conditions, Prog. Theor. Phys. 55 (1976), 438–456.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J.-P. FRANCOISE, Modèles locaux simultanés de fonctions et de formes de volume, Astérisque 59–60 (1979), 119–130.

    Google Scholar 

  13. J.-P. FRANCOISE, Réduction simultanée d’un croisement normal et d’un volume, Bol. Soc. Bras. Mat., 13 (1) (1982), 79–83.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. J.-P. FRANCOISE, Calculs explicites d’action-angles, Séminaire de Mathématiques supérieures de l’Université de Montréal, Ed. G. Sabidussi, colligés par P. Winternitz, 102 (1986), 101–120.

    Google Scholar 

  15. J.-P. FRANCOISE, The Arnol’d formula for A.C.I. systems, Bull. of the A.M.S.vol.17, (1987),301–303.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. P.A. GRIFFITHS, Periods of integrals on algebraic manifolds, I and II, Amer. Journ. Math. 90 (1968), 568–626 et 805–865.

    CrossRef  MATH  Google Scholar 

  17. P.A. GRIFFITHS, Periods of integrals on algebraic manifolds, Bull. AMS 75 (1970), 228–296.

    CrossRef  MATH  Google Scholar 

  18. P.A. GRIFFITHS, Periods of integrals on algebraic manifolds, III (some global differential geometric properties of the period mapping), Publ. Math. de l’IHES 38 (1970), 125–180.

    CrossRef  MATH  Google Scholar 

  19. V. GUILLEMIN, Band asymptotics in two dimensions, Advances in Math. 42 (1981), 248–282.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. V. GUILLEMIN, S. STERNBERG, Symplectic techniques in Physics, Cambridge University Press (1984).

    Google Scholar 

  21. H. HAMM, Die Topologie isolierter Singularitäten von Vollständigen Durchschnitten komplexer Hyperflächen, Dissertation, Bonn, 1969.

    Google Scholar 

  22. L. HORMANDER, Cours à l’Université de Lund (1974).

    Google Scholar 

  23. R. JOST, Winkel und Wirkungsvariable fur allgemeine mecanische systeme, Hel. Phys. Acta, 41 (1968), 965–968.

    Google Scholar 

  24. P. LIBERMANN, C.M. MARLE, Symplectic geometry and analytical mechanics, Collection Mathematics and its applications, Ed. Reidel (1987).

    Google Scholar 

  25. B. MALGRANGE, Intégrales asymptotiques et monodromie, Annales sci. Ec. Norm. Sup. 7 (3) (1974), 405–430.

    MathSciNet  MATH  Google Scholar 

  26. J. MOSER, Geometry of quadrics and spectral theory, Berkeley 1979, Springer-Verlag (1980), 147–188.

    MATH  Google Scholar 

  27. J. MOSER, Three integrable Hamiltonian systems connected with isospectral deformations, Advances in Math. 16 (1975), 197–200.

    CrossRef  MathSciNet  MATH  Google Scholar 

  28. J. MOSER, On the volume elements on a manifold, Trans. of the AMS, 120–121 (1965), 286–294.

    CrossRef  MathSciNet  MATH  Google Scholar 

  29. T. RATIU, P. Van MOERBEKE, The Lagrange rigid body problem, Ann. de l’Inst. Fourier 23 (9) (1982), 211–234.

    CrossRef  MATH  Google Scholar 

  30. G. de RHAM, Sur la division des formes et des courants par une forme linéaire, Comment. Mat. Helv. 28 (1954), 346–352.

    CrossRef  MATH  Google Scholar 

  31. C. ROCHE, Cohomologie relative dans le domaine réel, Thèse à l’Université de Grenoble (1982).

    Google Scholar 

  32. M. SEBASTIANI, Preuve d’une conjecture de E. Brieskorn, Manuscripta Math. 2 (1970), 301–308.

    CrossRef  MathSciNet  MATH  Google Scholar 

  33. J. VEY, Sur certains systèmes dynamiques séparables, Amer. J. Math. 100 (1978), 591–614.

    CrossRef  MathSciNet  MATH  Google Scholar 

  34. J. VEY, Sur le lemme de Morse, Inv. Math. 40 (1977), 1–9.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

Francoise, JP. (1990). Integrales de periodes en geometries symplectique et isochore. In: Albert, C. (eds) Géométrie Symplectique et Mécanique. Lecture Notes in Mathematics, vol 1416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097467

Download citation

  • DOI: https://doi.org/10.1007/BFb0097467

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52191-4

  • Online ISBN: 978-3-540-46920-9

  • eBook Packages: Springer Book Archive