Mathematical Methods of Classical Mechanics pp 201-232 | Cite as

Symplectic manifolds

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• V. I. Arnold

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Part of the Graduate Texts in Mathematics book series (GTM, volume 60)

Abstract

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.

Keywords

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.

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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

• V. I. Arnold
  • 1

1. 1.Department of MathematicsUniversity of MoscowMoscowUSSR