Constant mean curvature surfaces in hyperbolic 3-space via loop groups (Q2450156)

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 \(H\in[0,1)\).