Word.ws English Dictionary

Darboux's theorem

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.

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.

Origin of Darboux's theorem

Named after Jean Gaston Darboux.

Questions about Darboux's theorem

What does Darboux's theorem mean?
Darboux's theorem means 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.
What part of speech is Darboux's theorem?
Darboux's theorem is a proper noun.

Words near Darboux's theorem in the dictionary

  1. Darbonnes
  2. darbouka
  3. darboukas
  4. Darboux
  5. Darboux's formula
  6. Darboux's theorem
  7. darbs
  8. darbuka
  9. darbukah
  10. darbukas
  11. darby

Source and license

Adapted from Wiktionary: Darboux's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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