Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Mostow's_strong_rigidity_theorem
|
| gptkbp:appliesTo |
complete finite-volume hyperbolic manifolds of dimension greater than 2
|
| gptkbp:compatibleWith |
dimension 2
|
| gptkbp:field |
gptkb:geometry
gptkb:hyperbolic_geometry differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Mostow rigidity theorem
|
| gptkbp:implies |
hyperbolic structure of a manifold is determined by its fundamental group for n > 2
|
| gptkbp:namedAfter |
gptkb:George_Mostow
|
| gptkbp:relatedTo |
gptkb:Thurston's_hyperbolization_theorem
rigidity theory quasi-isometry |
| gptkbp:state |
Any isomorphism between the fundamental groups of two closed hyperbolic n-manifolds (n > 2) is induced by a unique isometry
|
| gptkbp:yearProved |
1968
|
| gptkbp:bfsParent |
gptkb:Margulis_superrigidity
gptkb:superrigidity_theorem |
| gptkbp:bfsLayer |
5
|