Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifolds
principal bundles |
| gptkbp:concerns |
gptkb:holonomy_group
connection on a principal bundle |
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ambrose–Singer theorem
|
| gptkbp:namedAfter |
gptkb:Isadore_Singer
gptkb:Warren_Ambrose |
| gptkbp:publicationYear |
1953
|
| gptkbp:publishedIn |
gptkb:Transactions_of_the_American_Mathematical_Society
|
| gptkbp:relatedTo |
holonomy
curvature |
| gptkbp:state |
The Lie algebra of the holonomy group at a point is generated by the curvature tensors and their covariant derivatives at that point.
|
| gptkbp:bfsParent |
gptkb:Holonomy
|
| gptkbp:bfsLayer |
6
|