Donaldson–Uhlenbeck–Yau theorem
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Kähler manifolds
holomorphic vector bundles |
| gptkbp:field |
gptkb:algebraic_geometry
differential geometry complex geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Donaldson–Uhlenbeck–Yau theorem
|
| gptkbp:influenced |
gptkb:algebraic_geometry
modern gauge theory |
| gptkbp:namedAfter |
gptkb:Karen_Uhlenbeck
gptkb:Simon_Donaldson gptkb:Shing-Tung_Yau |
| gptkbp:relatedConcept |
gptkb:Kobayashi–Hitchin_correspondence
Hermitian–Einstein metric polystability stability of vector bundles |
| gptkbp:sentence |
A holomorphic vector bundle over a compact Kähler manifold admits a Hermitian–Einstein metric if and only if it is polystable.
|
| gptkbp:yearProved |
1985
|
| gptkbp:bfsParent |
gptkb:Simon_Donaldson
|
| gptkbp:bfsLayer |
4
|