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Line 1: In mathematics, the '''simultaneous uniformization theorem''', proved by {{harvtxt\|Bers\|1960}}, states that it is possible to simultaneously uniformize two different Riemann surfaces of the same genus using a [[quasi-Fuchsian group]]. The quasi-Fuchsian group is essentially uniquely determined by the two Riemann surfaces, so the space of marked quasi-Fuchsian group of some fixed genus ''g'' can be identified with the product of two copies of [[Teichmüller space]] of the same genus. ==References==

Simultaneous uniformization theorem: Difference between revisions