Quasifuchsian groups

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:actsOn hyperbolic 3-space
gptkbp:defines A quasifuchsian group is a Kleinian group that is a quasiconformal deformation of a Fuchsian group.
gptkbp:field gptkb:hyperbolic_geometry
Kleinian groups
gptkbp:generalizes gptkb:Fuchsian_groups
gptkbp:hasProperty faithful representation
discrete subgroup of PSL(2,C)
torsion-free
geometrically finite
nonelementary
https://www.w3.org/2000/01/rdf-schema#label Quasifuchsian groups
gptkbp:introduced gptkb:Lipman_Bers
gptkbp:limitSet Jordan curve in the Riemann sphere
gptkbp:parameter Teichmüller space × Teichmüller space
gptkbp:relatedTo gptkb:Teichmüller_theory
gptkb:Fuchsian_groups
3-manifolds
Ahlfors–Bers theory
gptkbp:studiedIn complex analysis
geometric topology
gptkbp:bfsParent gptkb:Fuchsian_Groups
gptkbp:bfsLayer 7