A uniqueness theorem for nonsuperminimal surfaces in \(S^6\) with constant Kähler angles (Q2732426)
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scientific article; zbMATH DE number 1623667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniqueness theorem for nonsuperminimal surfaces in \(S^6\) with constant Kähler angles |
scientific article; zbMATH DE number 1623667 |
Statements
17 February 2002
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nonsuperminimal surface
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minimal surface
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totally real immersion
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constant Kähler angle
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A uniqueness theorem for nonsuperminimal surfaces in \(S^6\) with constant Kähler angles (English)
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Let \(x:\mathbb{R}^2\rightarrow S^6\) be a minimal and nonsuperminimal immersion with constant Kähler angle \(\theta\). The author proves that, if \(0<\theta<\pi\), then \(\theta=\frac{\pi}{2}\), that is, \(x\) is totally real and induces the trivial torus structure.
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