Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifolds
|
| gptkbp:category |
theorems in Riemannian geometry
|
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Riemannian Synge's theorem
|
| gptkbp:namedAfter |
gptkb:John_Lighton_Synge
|
| gptkbp:relatedTo |
gptkb:sphere_theorem
gptkb:Hopf–Rinow_theorem sectional curvature |
| gptkbp:sentence |
If a compact, orientable, even-dimensional Riemannian manifold is such that its sectional curvature is positive, then the manifold is simply connected.
|
| gptkbp:yearProved |
1936
|
| gptkbp:bfsParent |
gptkb:Riemannian_geometry
|
| gptkbp:bfsLayer |
5
|