Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:fiber |
| gptkbp:example |
gptkb:Hopf_fibration
universal bundle frame bundle of a manifold |
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:topology differential geometry |
| gptkbp:hasBaseSpace |
X
|
| gptkbp:hasProjectionMap |
π: P → X
|
| gptkbp:hasRightAction |
G acts freely and transitively on fibers
|
| gptkbp:hasStructureGroup |
Lie group G
|
| gptkbp:hasTotalSpace |
P
|
| https://www.w3.org/2000/01/rdf-schema#label |
principal G-bundle
|
| gptkbp:importantFor |
theory of characteristic classes
|
| gptkbp:introduced |
gptkb:Élie_Cartan
|
| gptkbp:localTriviality |
locally isomorphic to X × G
|
| gptkbp:relatedConcept |
gptkb:manga_series
transition function vector bundle associated bundle bundle morphism |
| gptkbp:usedIn |
gptkb:gauge_theory
theory of connections classification of fiber bundles |
| gptkbp:bfsParent |
gptkb:G-spaces
|
| gptkbp:bfsLayer |
7
|