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Simultaneous uniformization theorem : ウィキペディア英語版
Simultaneous uniformization theorem
In mathematics, the simultaneous uniformization theorem, proved by , 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.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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