Darboux’s theorem (symplectic geometry)
These are called canonical or Darboux coordinates. On , is the pullback by of the standard symplectic form on , so is a symplectomorphism. Darboux’s theorem implies that there are no local invariants in symplectic geometry, unlike in Riemannian geometry, where there is curvature.
|Title||Darboux’s theorem (symplectic geometry)|
|Date of creation||2013-03-22 13:15:31|
|Last modified on||2013-03-22 13:15:31|
|Last modified by||bwebste (988)|