Adding handles to Nadirashvili's surfaces (Q1424004)
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scientific article; zbMATH DE number 2052870
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Adding handles to Nadirashvili's surfaces |
scientific article; zbMATH DE number 2052870 |
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Adding handles to Nadirashvili's surfaces (English)
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8 March 2004
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The main result in the paper is the following: For any genus \(\sigma \geqslant 1,\) there exists a complete bounded minimal surface in \(\mathbb{R}^3\) with genus \(\sigma\) and one end. The techniques are Runge's theorem and a technique developed by \textit{N. Nadirashvili} [Invent. Math. 126, 457--465 (1996; Zbl 0881.53053)].
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minimal surfaces
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genus
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bounded
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complete
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