Uniformization of Riemann surfaces revisited
Cipriana Anghel, Rares Stan
TL;DR
This paper provides an elementary, self-contained proof of the uniformization theorem specifically for non-compact simply-connected Riemann surfaces, simplifying the understanding of their conformal structure.
Contribution
It offers a new, elementary proof of the uniformization theorem for a specific class of Riemann surfaces, enhancing accessibility and comprehension.
Findings
Elementary proof of uniformization theorem
Simplifies understanding of non-compact simply-connected surfaces
Clarifies conformal structure of these surfaces
Abstract
We give an elementary and self-contained proof of the uniformization theorem for non-compact simply-connected Riemann surfaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Analytic and geometric function theory · Geometric and Algebraic Topology