Kobayashi–Hitchin correspondence
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Kähler manifolds
holomorphic vector bundles |
| gptkbp:field |
gptkb:algebraic_geometry
differential geometry |
| gptkbp:generalizes |
gptkb:Donaldson–Uhlenbeck–Yau_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kobayashi–Hitchin correspondence
|
| gptkbp:influenced |
gptkb:gauge_theory
moduli spaces of bundles |
| gptkbp:namedAfter |
gptkb:Nigel_Hitchin
gptkb:Shoshichi_Kobayashi |
| gptkbp:relatedTo |
gptkb:Hermitian–Einstein_metrics
stable vector bundles |
| gptkbp:state |
A holomorphic vector bundle over a compact Kähler manifold admits a Hermitian–Einstein metric if and only if it is polystable.
|
| gptkbp:yearProposed |
1980s
|
| gptkbp:bfsParent |
gptkb:Donaldson–Uhlenbeck–Yau_theorem
|
| gptkbp:bfsLayer |
5
|