Nearly planar Jordan curves spanning a given number of minimal immersions of the disc (Q1059868)
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scientific article; zbMATH DE number 3905358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nearly planar Jordan curves spanning a given number of minimal immersions of the disc |
scientific article; zbMATH DE number 3905358 |
Statements
Nearly planar Jordan curves spanning a given number of minimal immersions of the disc (English)
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1985
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We show how to construct examples of Jordan curves in \({\mathbb{R}}^ 3\) arbitrarily close to a plane which span any given number of geometrically different stable minimally immersed discs. The construction is based on the theory of extensions to the disc of immersions of \(S^ 1\) into \({\mathbb{R}}^ 2\).
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minimal surfaces
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Plateau's problem
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Jordan curves
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