Frobenius integrability theorem
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth manifolds
|
| gptkbp:concerns |
distributions
integral manifolds involutive distributions |
| gptkbp:field |
differential geometry
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius integrability theorem
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
partial differential equations
foliations Lie brackets |
| gptkbp:state |
A smooth distribution is integrable if and only if it is involutive.
|
| gptkbp:bfsParent |
gptkb:Frobenius_theorem
|
| gptkbp:bfsLayer |
6
|