A generalization of \(H\)-surfaces and a certain duality (Q1907754)
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scientific article; zbMATH DE number 844449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of \(H\)-surfaces and a certain duality |
scientific article; zbMATH DE number 844449 |
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A generalization of \(H\)-surfaces and a certain duality (English)
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15 August 1996
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Theorem: If \(M\) is a simply connected Riemann surface, then there is a bijective correspondence between \(\{\varphi: M\to S^3\mid \varphi\) harmonic map\(\}/ \text{SO} (4)\) and \(\{f: M\to \mathbb{R}^3\mid f\) satisfies \(\Delta f= 2H f_x \wedge f_y \}/ \text{SO} (3) \ltimes \mathbb{R}^3\).
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constant mean curvature
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Riemann surface
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harmonic map
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