Statements (12)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
length spaces
|
gptkbp:concerns |
geodesic spaces
|
gptkbp:field |
metric geometry
|
https://www.w3.org/2000/01/rdf-schema#label |
Rinow's theorem
|
gptkbp:namedAfter |
gptkb:Werner_Rinow
|
gptkbp:publishedIn |
Rinow's 1951 book 'Die innere Geometrie der metrischen Räume'
|
gptkbp:relatedTo |
gptkb:Hopf–Rinow_theorem
|
gptkbp:state |
A metric space is a geodesic space if and only if it is a length space and every pair of points can be joined by a minimizing geodesic.
|
gptkbp:bfsParent |
gptkb:Werner_Rinow
gptkb:Willi_Rinow |
gptkbp:bfsLayer |
7
|