Bers Simultaneous Uniformization Theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
Riemann surfaces of genus g > 1
quasi-Fuchsian groups |
| gptkbp:consequence |
gptkb:Bers_slice
|
| gptkbp:field |
gptkb:Teichmüller_theory
gptkb:Riemann_surfaces complex analysis |
| https://www.w3.org/2000/01/rdf-schema#label |
Bers Simultaneous Uniformization Theorem
|
| gptkbp:importantFor |
establishes a correspondence between pairs of points in Teichmüller space and quasi-Fuchsian groups
|
| gptkbp:namedAfter |
gptkb:Lipman_Bers
|
| gptkbp:publishedIn |
gptkb:Acta_Mathematica
|
| gptkbp:relatedTo |
gptkb:Fuchsian_groups
quasiconformal mappings Ahlfors–Bers theory |
| gptkbp:state |
For any two points in Teichmüller space, there exists a quasi-Fuchsian group uniformizing both corresponding Riemann surfaces simultaneously.
|
| gptkbp:yearProposed |
1960
|
| gptkbp:bfsParent |
gptkb:quasifuchsian_groups
|
| gptkbp:bfsLayer |
7
|