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Symplectic Geometry, Groupoids, and Integrable Systems

Séminaire Sud Rhodanien de Géométrie à Berkeley (1989)

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. Pierre Dazord

    1. Département de Mathématiques, Université Lyon I, Villeurbanne Cedex, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Alan Weinstein

    1. Department of Mathematics, University of California, Berkeley, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematical Sciences Research Institute Publications (MSRI, volume 20)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Groupoïdes de Lie et Groupoïdes Symplectiques

    • Claude Albert, Pierre Dazord
    Pages 1-11

  3. Géometrie Globale des Systèmes Hamiltoniens Complètement Intégrables et Variables Action-Angle avec Singularités

    • Mohamed Boucetta
    Pages 13-22

  4. Sur Quelques Questions de Géométrie Symplectique

    • Nguiffo B. Boyom
    Pages 23-36

  5. Intégration Symplectique des Variétés de Poisson Totalement Asphériques

    • Pierre Dazord, Gilbert Hector
    Pages 37-72

  6. La Première Classe de Chern Comme Obstruction à la Quantification Asymptotique

    • P. Dazord, G. Patissier
    Pages 73-97

  7. Groupes de Poisson Affines

    • Pierre Dazord, D. Sondaz
    Pages 99-128

  8. Singular Lagrangian Foliation Associated to an Integrable Hamiltonian Vector Field

    • Nicole Desolneux-Moulis
    Pages 129-136

  9. Hyperbolic Actions of Rp on Poisson Manifolds

    • Jean-Paul Dufour
    Pages 137-150

  10. Compactification d’Actions de ℝn et Variables Action-Angle avec Singularités

    • J. P. Dufour, P. Molino
    Pages 151-167

  11. On the Diameter of the Symplectomorphism Group of the Ball

    • Yakov Eliashberg, Tudor Ratiu
    Pages 169-172

  12. A Symplectic Analogue of the Mostow-Palais Theorem

    • M. J. Gotay, G. M. Tuynman
    Pages 173-182

  13. Melnikov Formulas For Nearly Integrable Hamiltonian Systems

    • Jair Koiller
    Pages 183-188

  14. A Non-Linear Hadamard Theorem

    • Jacques Lafontaine
    Pages 189-192

  15. Equivariant Prequantization

    • R. Lashof
    Pages 193-207

  16. Momentum Mappings And Reduction of Poisson Actions

    • Jiang-Hua Lu
    Pages 209-226

  17. On Jacobi Manifolds and Jacobi Bundles

    • Charles-Michel Marle
    Pages 227-246

  18. Groupes de Lie à Structure Symplectique Invariante

    • Alberto Medina, Philippe Revoy
    Pages 247-266

  19. Holonomy Groupoids of Generalized Foliations. II. Transverse Measures and Modular Classes

    • Haruo Suzuki
    Pages 267-279

  20. Symplectic Groupoids, Geometric Quantization, and Irrational Rotation Algebras

    • Alan Weinstein
    Pages 281-290
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Keywords

Editors and Affiliations

  • Département de Mathématiques, Université Lyon I, Villeurbanne Cedex, France

    Pierre Dazord

  • Department of Mathematics, University of California, Berkeley, USA

    Alan Weinstein

Bibliographic Information

  • Book Title: Symplectic Geometry, Groupoids, and Integrable Systems

  • Book Subtitle: Séminaire Sud Rhodanien de Géométrie à Berkeley (1989)

  • Editors: Pierre Dazord, Alan Weinstein

  • Series Title: Mathematical Sciences Research Institute Publications

  • DOI: https://doi.org/10.1007/978-1-4613-9719-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1991

  • Hardcover ISBN: 978-0-387-97526-9Due: 18 April 1991

  • Softcover ISBN: 978-1-4613-9721-2Published: 06 January 2012

  • eBook ISBN: 978-1-4613-9719-9Published: 06 December 2012

  • Series ISSN: 0940-4740

  • Edition Number: 1

  • Number of Pages: XI, 311

  • Topics: Differential Geometry

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