Statements (9)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifolds
|
| gptkbp:concerns |
closed geodesics
|
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Klingenberg's theorem
|
| gptkbp:namedAfter |
gptkb:Wilhelm_Klingenberg
|
| gptkbp:state |
A compact Riemannian manifold with nontrivial fundamental group has a nontrivial closed geodesic
|
| gptkbp:bfsParent |
gptkb:Wilhelm_Klingenberg
|
| gptkbp:bfsLayer |
5
|