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concepts in symplectic geometry (Topic)

Linear theory

  1. symplectic vector space, symplectic matrix
  2. symplectic complement

Symplectic manifolds

  1. symplectic manifold (examples)
  2. Lagrangian submanifold, isotropic submanifold
  3. symplectic vector field
  4. symplectomorphism, canonical transformation
  5. Hamilton equations
  6. Darboux's Theorem
  7. Poisson bracket
  8. Moser's theorem
  9. Gray stability theorem
  10. momentum map



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Cross-references: momentum map, Moser's theorem, Poisson bracket, Hamilton equations, canonical transformation, symplectomorphism, symplectic vector field, isotropic submanifold, Lagrangian submanifold, symplectic manifold, symplectic complement, symplectic matrix, symplectic vector space
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This is version 5 of concepts in symplectic geometry, born on 2004-10-26, modified 2006-09-20.
Object id is 6423, canonical name is ConceptsInSymplecticGeometry.
Accessed 2668 times total.

Classification:
AMS MSC53D05 (Differential geometry :: Symplectic geometry, contact geometry :: Symplectic manifolds, general)

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