Symplectic manifolds

  • V. I. Arnold
Part of the Graduate Texts in Mathematics book series (GTM, volume 60)


A symplectic structure on a manifold is a closed nondegenerate differential 2-form. The phase space of a mechanical system has a natural symplectic structure.


Vector Field Poisson Bracket Symplectic Manifold Symplectic Structure Hamiltonian Function 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Department of Mathematics Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

Personalised recommendations