Advertisement

Symplectic Diffeomorphisms

  • Augustin Banyaga
Part of the Mathematics and Its Applications book series (MAIA, volume 400)

Abstract

Recall that a symplectic form on a 2n-dimensional manifold M is a closed 2-form Ω such that Ω n = Ω Λ Ω Λ ... Λ Ω (n times) is a volume form, i.e. a nowhere vanishing top dimensional differential form. The couple (M, Ω) is called a symplectic manifold, and the volume form Ω n is called the Liouvillie volume of the symplectic manifold (M, Ω).

Keywords

Open Cover Symplectic Form Symplectic Manifold Lagrangian Submanifold Smooth Family 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Augustin Banyaga
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUSA

Personalised recommendations