Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifolds
|
| gptkbp:concerns |
Ricci curvature
|
| gptkbp:field |
gptkb:Riemannian_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Myers's theorem
|
| gptkbp:implies |
compactness of manifold
finite fundamental group |
| gptkbp:namedAfter |
gptkb:Sumner_Byron_Myers
|
| gptkbp:publicationYear |
1941
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:sentence |
A complete Riemannian manifold with Ricci curvature bounded below by a positive constant is compact and has finite fundamental group.
|
| gptkbp:bfsParent |
gptkb:Sumner_Myers
|
| gptkbp:bfsLayer |
7
|