The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\) (Q581847)
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scientific article; zbMATH DE number 4129537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\) |
scientific article; zbMATH DE number 4129537 |
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The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\) (English)
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1990
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The author proves a conjecture of Meeks: All triply periodic minimal surfaces in \(R^ 3\) are equivalent under homeomorphisms of \(R^ 3\). The purely topological proofuses the fact that such surfaces cover Heegard splittings of the three-torus.
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triply periodic minimal surfaces
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Heegard splittings
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