concepts in symplectic geometry

Linear theory

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

单词	ConceptsInSymplecticGeometry
释义	concepts in symplectic geometry Linear theory 1. symplectic vector space, symplectic matrix 2. symplectic complement Symplectic manifolds 1. symplectic manifold (examples (http://planetmath.org/ExamplesOfSymplecticManifolds)) 2. Lagrangian submanifold, isotropic submanifold 3. symplectic vector field 4. symplectomorphism, canonical transformation 5. Hamilton equations 6. Darboux’s Theorem (http://planetmath.org/DarbouxsTheoremSymplecticGeometry) 7. Poisson bracket 8. Moser’s theorem 9. Gray stability theorem 10. momentum map
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