Volume 1764 2001

Lectures on Symplectic Geometry

Authors:

ISBN: 978-3-540-42195-5 (Print) 978-3-540-45330-7 (Online)

Table of contents (30 chapters)

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  1. Front Matter

    Pages i-xiv

  2. Symplectic Manifolds

    1. Front Matter

      Pages 2-2

    2. No Access

      Book Chapter

      Pages 3-8

      Symplectic Forms

    3. No Access

      Book Chapter

      Pages 9-14

      Symplectic Form on the Cotangent Bundle

  3. Symplectomorphisms

    1. Front Matter

      Pages 16-16

    2. No Access

      Book Chapter

      Pages 17-23

      Lagrangian Submanifolds

    3. No Access

      Book Chapter

      Pages 25-31

      Generating Functions

    4. No Access

      Book Chapter

      Pages 33-37

      Recurrence

  4. Local Forms

    1. Front Matter

      Pages 40-40

    2. No Access

      Book Chapter

      Pages 41-47

      Preparation for the Local Theory

    3. No Access

      Book Chapter

      Pages 49-53

      Moser Theorems

    4. No Access

      Book Chapter

      Pages 55-60

      Darboux-Moser-Weinstein Theory

    5. No Access

      Book Chapter

      Pages 61-66

      Weinstein Tubular Neighborhood Theorem

  5. Contact Manifolds

    1. Front Matter

      Pages 68-68

    2. No Access

      Book Chapter

      Pages 69-74

      Contact Forms

    3. No Access

      Book Chapter

      Pages 75-79

      Contact Dynamics

  6. Compatible Almost Complex Structures

    1. Front Matter

      Pages 82-82

    2. No Access

      Book Chapter

      Pages 83-88

      Almost Complex Structures

    3. No Access

      Book Chapter

      Pages 89-92

      Compatible Triples

    4. No Access

      Book Chapter

      Pages 93-98

      Dolbeault Theory

  7. Kähler Manifolds

    1. Front Matter

      Pages 100-100

    2. No Access

      Book Chapter

      Pages 101-107

      Complex Manifolds

    3. No Access

      Book Chapter

      Pages 109-116

      Kähler Forms

    4. No Access

      Book Chapter

      Pages 117-123

      Compact Kähler Manifolds

  8. Hamiltonian Mechanics

    1. Front Matter

      Pages 126-126

    2. No Access

      Book Chapter

      Pages 127-134

      Hamiltonian Vector Fields

    3. No Access

      Book Chapter

      Pages 135-142

      Variational Principles

    4. No Access

      Book Chapter

      Pages 143-148

      Legendre Transform

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