On values of the Gauss map of complete minimal surfaces in \(R^ 3\) (Q909244)
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scientific article; zbMATH DE number 4136889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On values of the Gauss map of complete minimal surfaces in \(R^ 3\) |
scientific article; zbMATH DE number 4136889 |
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On values of the Gauss map of complete minimal surfaces in \(R^ 3\) (English)
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1988
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The authors study complete minimal surfaces M in \({\mathbb{R}}^ 3\). Using Xavier's techniques they prove: If M is of finite topological type and not a plane, then the Gauß map g assumes every value infinitely often, with the possible exception of six points. In the meantime H. Fujimoto has proved his four-points-theorem. So we suppose that the number six in the theorem above can be replaced by the number four.
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value distribution
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complete minimal surfaces
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finite topological type
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Gauß map
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