Mostow's strong rigidity theorem
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:hyperbolic_manifolds
locally symmetric spaces |
| gptkbp:field |
gptkb:geometry
gptkb:topology differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Mostow's strong rigidity theorem
|
| gptkbp:implies |
hyperbolic manifolds of dimension greater than 2 are determined up to isometry by their fundamental group
|
| gptkbp:influenced |
modern geometric topology
|
| gptkbp:namedAfter |
gptkb:George_Mostow
|
| gptkbp:publishedIn |
gptkb:Publications_Mathématiques_de_l'IHÉS
|
| gptkbp:relatedTo |
gptkb:Margulis_superrigidity_theorem
rigidity theory |
| gptkbp:sentence |
Any isomorphism between the fundamental groups of certain closed, locally symmetric spaces of noncompact type and dimension greater than 2 is induced by a unique isometry.
|
| gptkbp:yearProved |
1968
|
| gptkbp:bfsParent |
gptkb:Mostow_rigidity_theorem
|
| gptkbp:bfsLayer |
6
|