Gromov's theorem on almost flat manifolds
GPTKB entity
Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:Mikhail_Gromov
|
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gromov's theorem on almost flat manifolds
|
| gptkbp:implies |
almost flat manifolds are infranilmanifolds
|
| gptkbp:namedAfter |
gptkb:Mikhail_Gromov
|
| gptkbp:publishedIn |
gptkb:Journal_of_Differential_Geometry
|
| gptkbp:relatedConcept |
gptkb:Riemannian_manifold
sectional curvature infranilmanifold nilmanifold |
| gptkbp:relatedTo |
gptkb:Bieberbach_theorem
|
| gptkbp:sentence |
A compact manifold with a sequence of Riemannian metrics of diameter 1 and sectional curvature tending to zero is finitely covered by a nilmanifold.
|
| gptkbp:yearProposed |
1978
|
| gptkbp:bfsParent |
gptkb:Misha_Gromov
|
| gptkbp:bfsLayer |
7
|