Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting (Q278172)
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scientific article; zbMATH DE number 6575906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting |
scientific article; zbMATH DE number 6575906 |
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Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting (English)
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2 May 2016
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This paper presents a DPW method for spacelike constant mean curvature (CMC) surfaces with mean curvature \(H\) satisfying \(0\leq H< 1\) in \(S^{2, 1}\) by using the Iwasawa splitting. The author studies the singularities of these surfaces and special types of singularities, focusing on the asymptotic behavior of the Iwasawa splitting and using the \(s\)-spectral deformation. In particular, the Smyth-type surfaces are analyzed.
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surface theory
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integrable systems
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singularities
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asymptotic behavior
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Smyth-type surface
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0.9255162
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0.91849226
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0.9182522
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0.9081089
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0.9065095
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0.90641916
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