An example of an immersed complete genus one minimal surface in \(\mathbb{R}^3\) with two convex ends (Q1392748)
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scientific article; zbMATH DE number 1180681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An example of an immersed complete genus one minimal surface in \(\mathbb{R}^3\) with two convex ends |
scientific article; zbMATH DE number 1180681 |
Statements
An example of an immersed complete genus one minimal surface in \(\mathbb{R}^3\) with two convex ends (English)
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2 December 1999
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Summary: We prove the existence of a compact genus one immersed minimal surface \(M\) whose boundary is the union of two immersed locally convex curves lying in parallel planes. \(M\) is part of a complete minimal surface with two finite total curvature ends.
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minimal surface
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convex boundary
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Weierstrass representation
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elliptic functions
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