Complete minimal surfaces in \(\mathbb{R}^ 3\) with type Enneper end (Q1337036)
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scientific article; zbMATH DE number 672151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete minimal surfaces in \(\mathbb{R}^ 3\) with type Enneper end |
scientific article; zbMATH DE number 672151 |
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Complete minimal surfaces in \(\mathbb{R}^ 3\) with type Enneper end (English)
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18 December 1994
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We show that there exists a complete minimal surface immersed into \(\mathbb{R}^ 3\) which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. Furthermore, the end of the surface is of Enneper type and its total curvature is \(-16 \pi\).
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complete minimal surface
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conformally equivalent
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Riemann surface
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Enneper type
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total curvature
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