A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends (Q1083695)
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scientific article; zbMATH DE number 3975779
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends |
scientific article; zbMATH DE number 3975779 |
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A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends (English)
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1985
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The only known examples of complete embedded minimal surfaces in \({\mathbb{R}}^ 3\) of finite total curvature have been the plane and the catenoid. Here the authors exhibit another such surface which topologically is a torus with three punctures.
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minimal surfaces
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finite total curvature
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