Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:algebra
group theory differential topology |
| gptkbp:describes |
integrability of distributions
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasVersion |
gptkb:Frobenius_theorem_(differential_topology)
gptkb:Frobenius_theorem_(group_theory) gptkb:Frobenius_theorem_(real_division_algebras) |
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius' theorem
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
partial differential equations
Lie bracket vector fields finite groups division algebras |
| gptkbp:state |
A distribution is integrable if and only if it is involutive
|
| gptkbp:usedIn |
differential geometry
group theory algebraic structures |
| gptkbp:bfsParent |
gptkb:Frobenius_group
|
| gptkbp:bfsLayer |
6
|