Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
sphere theorem
|
| gptkbp:provenBy |
gptkb:Wilhelm_Klingenberg
gptkb:Marcel_Berger gptkb:Shing-Tung_Yau |
| gptkbp:relatedTo |
gptkb:butter
gptkb:topology curvature pinching |
| gptkbp:sentence |
A Riemannian manifold with sectional curvature strictly between 1/4 and 1 is homeomorphic to a sphere.
|
| gptkbp:yearProved |
1960s
|
| gptkbp:bfsParent |
gptkb:Dehn's_lemma
gptkb:Riemannian_manifold gptkb:Differential_geometry |
| gptkbp:bfsLayer |
5
|