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
随便看	symmetric bilinear form SymmetricDifference symmetric difference SymmetricDifferenceOnAFiniteNumberOfSets symmetric difference on a finite number of sets SymmetricGroup symmetric group symmetric group SymmetricGroup1 SymmetricGroupIsGeneratedByAdjacentTranspositions symmetric group is generated by adjacent transpositions SymmetricGroupOnThreeLetters symmetric group on three letters SymmetricInverseSemigroup symmetric inverse semigroup SymmetricMatrix symmetric matrix SymmetricMonoidalCategory symmetric monoidal category SymmetricMultilinearFunction symmetric multilinear function SymmetricPolynomial symmetric polynomial SymmetricPower symmetric power