Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:actsOn |
tangent bundle
|
| gptkbp:category |
gptkb:geometry
gptkb:group_of_people |
| gptkbp:describes |
how tangent vectors are transformed by parallel transport around closed loops
|
| gptkbp:field |
differential geometry
|
| gptkbp:hasSpecialCase |
special holonomy
restricted holonomy group full holonomy group |
| gptkbp:heldBy |
a Lie group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Holonomy group
|
| gptkbp:introduced |
gptkb:Élie_Cartan
|
| gptkbp:relatedTo |
gptkb:Berger's_classification
gptkb:Ambrose–Singer_theorem gptkb:Riemannian_manifold Levi-Civita connection parallel transport connection (mathematics) holonomy algebra |
| gptkbp:usedIn |
classification of Riemannian manifolds
|
| gptkbp:bfsParent |
gptkb:Holonomy
|
| gptkbp:bfsLayer |
6
|