Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
group theory concept |
| gptkbp:borders |
gptkb:Gromov_boundary
|
| gptkbp:characterizedBy |
negative curvature properties
|
| gptkbp:definedIn |
delta-hyperbolicity
|
| gptkbp:example |
free group
fundamental group of closed hyperbolic manifold abelian group of rank greater than 1 lattice in higher rank Lie group |
| gptkbp:field |
geometric group theory
|
| gptkbp:hasApplication |
geometric group theory
low-dimensional topology algorithmic group theory |
| gptkbp:hasProperty |
automatic group
boundary at infinity linear isoperimetric inequality finite asymptotic dimension finite presentation implies word problem is solvable |
| https://www.w3.org/2000/01/rdf-schema#label |
Gromov hyperbolic group
|
| gptkbp:introducedIn |
1987
|
| gptkbp:namedAfter |
gptkb:Mikhail_Gromov
|
| gptkbp:relatedTo |
hyperbolic space
CAT(-1) group relatively hyperbolic group word hyperbolic group |
| gptkbp:studiedIn |
gptkb:Weyl_group
|
| gptkbp:bfsParent |
gptkb:Misha_Gromov
|
| gptkbp:bfsLayer |
7
|