Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
gptkb:Riemannian_manifolds
metric spaces geodesic completeness |
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hopf–Rinow theorem
|
| gptkbp:namedAfter |
gptkb:Werner_Rinow
gptkb:Heinz_Hopf |
| gptkbp:publicationYear |
1931
|
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:state |
For a connected Riemannian manifold, geodesic completeness is equivalent to metric completeness.
|
| gptkbp:bfsParent |
gptkb:Riemannian_geometry
|
| gptkbp:bfsLayer |
5
|