Simultaneous uniformization theorem

id: simultaneous-uniformization-theorem-296-13767778
title: Simultaneous uniformization theorem
text: In mathematics, the simultaneous uniformization theorem, proved by Bers (1960), states that it is possible to simultaneously uniformize two different Riemann surfaces of the same 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.
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original url: https://en.wikipedia.org/wiki/Simultaneous_uniformization_theorem
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date modified: 2023-08-12T00:29:35Z
main entity: {"identifier":"Q7521375","url":"https://www.wikidata.org/entity/Q7521375"}
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