Darboux's theorem

English

Etymology

Named after Jean Gaston Darboux.

Proper noun

Darboux's theorem

  1. (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.
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