Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Calabi–Yau theorem
|
| gptkbp:appliesTo |
gptkb:Calabi–Yau_manifolds
compact Kähler manifolds |
| gptkbp:author |
gptkb:Shing-Tung_Yau
|
| gptkbp:field |
differential geometry
complex geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Yau's theorem
|
| gptkbp:implies |
existence of Ricci-flat Kähler metrics
|
| gptkbp:influenced |
gptkb:string_theory
gptkb:mirror_symmetry |
| gptkbp:namedAfter |
gptkb:Shing-Tung_Yau
|
| gptkbp:provenBy |
existence of Kähler–Einstein metrics on compact Kähler manifolds with vanishing first Chern class
|
| gptkbp:publishedIn |
gptkb:Communications_on_Pure_and_Applied_Mathematics
|
| gptkbp:relatedTo |
gptkb:Kähler–Einstein_metric
gptkb:Calabi_conjecture Ricci-flat manifold complex Monge–Ampère equation |
| gptkbp:solvedBy |
gptkb:Calabi_conjecture
|
| gptkbp:yearProved |
1978
|
| gptkbp:bfsParent |
gptkb:Calabi_conjecture
|
| gptkbp:bfsLayer |
6
|