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Birkhäuser

Holomorphic Curves in Symplectic Geometry

  • Book
  • © 1994

Overview

Editors:
  1. Michèle Audin

    1. Institut de Recherche Mathématique Avancée, Université Louis Pasteur, Strasbourg Cedex, France

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  2. Jacques Lafontaine

    1. Département de Mathématiques, Université Montpellier 2, Montpellier Cedex 5, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Mathematics (PM, volume 117)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction: Applications of pseudo-holomorphic curves to symplectic topology

    1. Introduction Applications of pseudo-holomorphic curves to symplectic topology

      • Jacques Lafontaine, Michèle Audin
      Pages 1-14

  3. Basic symplectic geometry

    1. Front Matter

      Pages 15-15
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    2. An introduction to symplectic geometry

      • Augustin Banyaga
      Pages 17-40

    3. Symplectic and almost complex manifolds

      • Michèle Audin
      Pages 41-74

  4. Riemannian geometry and linear connections

    1. Front Matter

      Pages 75-75
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    2. Some relevant Riemannian geometry

      • Jacques Lafontaine
      Pages 77-112

    3. Connexions linéaires, classes de Chern, théorème de Riemann-Roch

      • Paul Gauduchon
      Pages 113-162

  5. Pseudo-holomorphic curves and applications

    1. Front Matter

      Pages 163-163
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    2. Some properties of holomorphic curves in almost complex manifolds

      • Jean-Claude Sikorav
      Pages 165-189

    3. Singularities and positivity of intersections of J-holomorphic curves

      • Dusa McDuff
      Pages 191-215

    4. Gromov’s Schwarz lemma as an estimate of the gradient for holomorphic curves

      • Marie-Paule Muller
      Pages 217-231

    5. Compactness

      • Pierre Pansu
      Pages 233-249

    6. Exemples de courbes pseudo-holomorphes en géométrie riemannienne

      • François Labourie
      Pages 251-269

    7. Symplectic rigidity: Lagrangian submanifolds

      • Michèle Audin, François Lalonde, Leonid Polterovich
      Pages 271-321

  6. Back Matter

    Pages 323-331
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Keywords

Editors and Affiliations

  • Institut de Recherche Mathématique Avancée, Université Louis Pasteur, Strasbourg Cedex, France

    Michèle Audin

  • Département de Mathématiques, Université Montpellier 2, Montpellier Cedex 5, France

    Jacques Lafontaine

Bibliographic Information

  • Book Title: Holomorphic Curves in Symplectic Geometry

  • Editors: Michèle Audin, Jacques Lafontaine

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8508-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel 1994

  • Hardcover ISBN: 978-3-7643-2997-6Published: 01 February 1994

  • Softcover ISBN: 978-3-0348-9656-6Published: 28 October 2012

  • eBook ISBN: 978-3-0348-8508-9Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XI, 331

  • Topics: Differential Geometry, Topological Groups, Lie Groups

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