The perimeter-minimizing enclosure of two areas in \(S^2\) (Q1979043)
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scientific article; zbMATH DE number 1450289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The perimeter-minimizing enclosure of two areas in \(S^2\) |
scientific article; zbMATH DE number 1450289 |
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The perimeter-minimizing enclosure of two areas in \(S^2\) (English)
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22 May 2000
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It is shown that the least-perimeter way to enclose and separate two prescribed areas in \(S^2\) is the standard double bubble. For given areas \(A_1,A_2>0\), with \(A_1+A_2<4\pi \), there exists a unique standard double bubble in the unit round sphere enclosing and separating regions of area \(A_1\) and \(A_2\).
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perimeter
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double bubble
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