A proof of the uniformization theorem on \(S^2\) (Q2764272)
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scientific article; zbMATH DE number 1690294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proof of the uniformization theorem on \(S^2\) |
scientific article; zbMATH DE number 1690294 |
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7 November 2002
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uniformization theorem on \(S^2\)
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conformal metric
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A proof of the uniformization theorem on \(S^2\) (English)
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Using the Green function of the conformal Laplacian the author gives a simple proof of the following Theorem: Given any Riemannian metric \(g\) on \(S^2\), there exists a conformal metric \(g^\prime = e^u g\) with constant Gaussian curvature \(1\).
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