Source: wikibot/simultaneous-uniformization-theorem
= Simultaneous uniformization theorem
{wiki=Simultaneous_uniformization_theorem}
The Simultaneous Uniformization Theorem is a significant result in complex analysis and the theory of Riemann surfaces. It addresses the problem of uniformizing a set of Riemann surfaces simultaneously. To understand the theorem, let’s break down some key concepts: 1. **Riemann Surfaces**: These are one-dimensional complex manifolds.