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The uniformization theorem states that any simply connected Riemann surface is conformally equivalent to the Riemann sphere \(\textbf{C}_\infty \) , the complex plane \(\textbf{C}\) , or the unit disk D. It generalizes the Riemann mapping theorem.

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The Uniformization Theorem

  • 章节

  • 发表日期：

    2025年

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  • Mei-Chi Shaw,
  • Charles M. Stanton

摘要

The uniformization theorem states that any simply connected Riemann surface is conformally equivalent to the Riemann sphere \(\textbf{C}_\infty \) , the complex plane \(\textbf{C}\) , or the unit disk D. It generalizes the Riemann mapping theorem.