Darboux's theorem
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English
[edit]
Etymology
[edit]Named after Jean Gaston Darboux.
Proper noun
[edit]- (differential geometry) A theorem providing a normal form for special classes of differential 1-forms, partially generalizing the Frobenius integration theorem. One of its many consequences is that any two symplectic manifolds of the same dimension are locally symplectomorphic to one another.