Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
manifolds of dimension at least 4
|
| gptkbp:concerns |
gptkb:Riemannian_manifolds
conformal flatness |
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl–Schouten theorem
|
| gptkbp:namedAfter |
gptkb:Hermann_Weyl
gptkb:Jan_Arnoldus_Schouten |
| gptkbp:relatedTo |
gptkb:Weyl_tensor
gptkb:conformal_geometry |
| gptkbp:state |
A Riemannian manifold of dimension n ≥ 4 is conformally flat if and only if its Weyl tensor vanishes.
|
| gptkbp:bfsParent |
gptkb:Hermann_Weyl
|
| gptkbp:bfsLayer |
4
|