Simultaneous uniformization theorem: Difference between revisions

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Line 1: In mathematics, the '''simultaneous uniformization theorem''', proved by {{harvtxt\|Bers\|1960}}, states that it is possible to simultaneously [[uniformization theorem\|uniformize]] two different [[Riemann surface]]s of the same [[genus (mathematics)\|genus]] using a [[quasi-Fuchsian group]] of the first kind. The quasi-Fuchsian group is essentially uniquely determined by the two Riemann surfaces, so the space of marked quasi-Fuchsian group of the first kind of some fixed genus ''g'' can be identified with the product of two copies of [[Teichmüller space]] of the same genus. Line 5: ==References== *{{Citation \| last1=Bers \| first1=Lipman \|authorlink=Lipman Bers\| title=Simultaneous uniformization \| doi=10.1090/S0002-9904-1960-10413-2 \| mr=0111834 \| year=1960 \| journal=[[Bulletin of the American Mathematical Society]] \| issn=0002-9904 \| volume=66 \| issue=2 \| pages=94–97\| doi-access=free }} [[Category:Kleinian groups]] [[Category:Riemann surfaces]] {{Riemannian-geometry-stub}}