Constant mean curvature surfaces in hyperbolic 3-space via loop groups (Q2450156)
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| Language | Label | Description | Also known as |
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| English | Constant mean curvature surfaces in hyperbolic 3-space via loop groups |
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Constant mean curvature surfaces in hyperbolic 3-space via loop groups (English)
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16 May 2014
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This very-well written paper continues the research initiated in [the first author et al., Commun. Anal. Geom. 6, No. 4, 633--668 (1998; Zbl 0932.58018)] where the authors introduced a particular method, now called DPW, for the study of CMC surfaces in Euclidean 3-space. The DPW method employs loop groups. The aim of the present paper is to show that the DPW method works for CMC surfaces in hyperbolic 3-space too, provided \(H\in[0,1)\).
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CMC surface
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Weierstrass representation
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hyperbolic space
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