Darboux's theorem

proper noun

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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Meanings

proper noun
  1. differential geometryA 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.

Origin

Named after Jean Gaston Darboux.

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Cite this entry
APA

Darboux's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Darboux's%20theorem

MLA

“Darboux's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Darboux's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Darboux's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Darboux's%20theorem.

Source: Darboux's theorem on Wiktionary, CC BY-SA 4.0.