Rinow's theorem

GPTKB entity

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