\(S^{1}\)-equivariant CMC-hypersurfaces in the hyperbolic 3-space and the corresponding Lagrangians (Q367025)
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scientific article; zbMATH DE number 6211484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(S^{1}\)-equivariant CMC-hypersurfaces in the hyperbolic 3-space and the corresponding Lagrangians |
scientific article; zbMATH DE number 6211484 |
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\(S^{1}\)-equivariant CMC-hypersurfaces in the hyperbolic 3-space and the corresponding Lagrangians (English)
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25 September 2013
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The main result of the paper under review is Theorem 4.3 that determines the potential function of the Lagrangian which corresponds to an \(S^1\)-equivariant CMC surface in the hyperbolic \(3\)-space. An important consequence is that the potential function depends on the constant mean curvature \(H\).
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\(S^{1}\)-equivariant CMC hypersurface
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hyperbolic 3-space
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Lagrangian
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