Half-space theorems for minimal surfaces with bounded curvature. (Q1609823)
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scientific article; zbMATH DE number 1782687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Half-space theorems for minimal surfaces with bounded curvature. |
scientific article; zbMATH DE number 1782687 |
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Half-space theorems for minimal surfaces with bounded curvature. (English)
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15 August 2002
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The authors prove a version of the strong half-space theorem for minimal surfaces with bounded curvature in \(\mathbb R^3\) and give criteria for deciding if a complete minimal surface is proper. They show that complete injectively immersed minimal surfaces with bounded curvature are proper. Finally they show an application of the maximum principle for nonproper minimal immersions in \(\mathbb R^3\).
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minimal surface
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half-space theorem
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