Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Riemannian_manifolds
discrete groups of isometries |
| gptkbp:field |
gptkb:geometry
gptkb:Riemannian_geometry differential geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Margulis lemma
|
| gptkbp:namedAfter |
gptkb:Grigory_Margulis
|
| gptkbp:sentence |
There exists a constant ε(n) > 0 such that for any discrete group of isometries of n-dimensional Riemannian manifold, the subgroup generated by elements moving a point less than ε(n) is virtually nilpotent.
|
| gptkbp:usedIn |
geometry of locally symmetric spaces
proofs of Mostow rigidity study of thin parts of manifolds |
| gptkbp:bfsParent |
gptkb:Gregory_Margulis
gptkb:Grigory_Margulis |
| gptkbp:bfsLayer |
4
|