Complete minimal surfaces with long line boundaries (Q1098421)
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scientific article; zbMATH DE number 4038648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete minimal surfaces with long line boundaries |
scientific article; zbMATH DE number 4038648 |
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Complete minimal surfaces with long line boundaries (English)
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1987
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The authors prove Bernstein-type theorems for complete minimal surfaces bounded by lines in \({\mathbb{R}}^ 3.\) For example, if M is a complete minimal surface whose interior is a graph over a square J in the (x,y) plane, and if the boundary of M is composed of the four vertical lines over the vertices of J, then M is Scherk's surface.
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Bernstein-type theorems
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minimal surfaces
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0.9027623
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0.89840966
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0.8921416
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0.88865674
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