Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Riemannian manifolds
|
| gptkbp:concerns |
gptkb:Riemannian_manifolds
|
| gptkbp:field |
gptkb:Riemannian_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cheeger finiteness theorem
|
| gptkbp:namedAfter |
gptkb:Jeff_Cheeger
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:requires |
lower bound on sectional curvature
lower bound on volume upper bound on diameter |
| gptkbp:state |
There are only finitely many diffeomorphism types of compact Riemannian manifolds with bounded geometry and diameter
|
| gptkbp:yearProved |
1970
|
| gptkbp:bfsParent |
gptkb:Jeff_Cheeger
|
| gptkbp:bfsLayer |
5
|