Stability of surfaces on the sub-Riemannian three-sphere (Q2912638)
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scientific article; zbMATH DE number 6082895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of surfaces on the sub-Riemannian three-sphere |
scientific article; zbMATH DE number 6082895 |
Statements
14 September 2012
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stationary surface
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unstable surface
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mean curvature
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0.9339716
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0.92718685
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0.9209599
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0.91600484
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0.91322654
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0.91317964
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0.9044603
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Stability of surfaces on the sub-Riemannian three-sphere (English)
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The authors study the stability of compact surfaces in the sub-Riemannian three-sphere and obtain an elegant proof of a result already obtained by the second author [Calc. Var. Partial Differ. Equ. 43, No. 3--4, 311--345 (2012; Zbl 1235.53036)]: Let \(\Sigma\) be a compact and stationary \(C^2\)-surface in the sub-Riemannian three-sphere \((S^3,g_h)\). If \(\Sigma\) has no singular points, then it is unstable.NEWLINENEWLINEFor the entire collection see [Zbl 1243.00023].
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