Riemannian Bonnet–Myers theorem

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns gptkb:Riemannian_manifolds
Ricci curvature
gptkbp:field gptkb:Riemannian_geometry
https://www.w3.org/2000/01/rdf-schema#label Riemannian Bonnet–Myers theorem
gptkbp:implies compactness of manifold
finite fundamental group
gptkbp:namedAfter gptkb:Oskar_Bonnet
gptkb:Sumner_Byron_Myers
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:state A complete Riemannian manifold with Ricci curvature bounded below by a positive constant is compact and has finite diameter
gptkbp:yearProved 1935
gptkbp:bfsParent gptkb:Riemannian_geometry
gptkbp:bfsLayer 5