Introduction to Symplectic Geometry

  • Jean-Louis Koszul
  • Yi Ming Zou

Table of contents

  1. Front Matter
    Pages i-l
  2. Jean-Louis Koszul, Yi Ming Zou
    Pages 1-19
  3. Jean-Louis Koszul, Yi Ming Zou
    Pages 21-55
  4. Jean-Louis Koszul, Yi Ming Zou
    Pages 57-73
  5. Jean-Louis Koszul, Yi Ming Zou
    Pages 75-90
  6. Jean-Louis Koszul, Yi Ming Zou
    Pages 91-107
  7. Jean-Louis Koszul, Yi Ming Zou
    Pages 109-116
  8. Back Matter
    Pages 117-121

About this book


This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters:  Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.


Symplectic Geometry Cotangent Bundles G-spaces Poisson Manifolds supermanifolds

Authors and affiliations

  • Jean-Louis Koszul
    • 1
  • Yi Ming Zou
    • 2
  1. 1.Institut FourierUniversité Grenoble AlpesGières, GrenobleFrance
  2. 2.Department of Mathematical SciencesUniversity of Wisconsin-MilwaukeeMilwaukeeUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. and Science Press 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-3986-8
  • Online ISBN 978-981-13-3987-5
  • Buy this book on publisher's site
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