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

Josef F. Dorfmeister, Jun-ichi Inoguchi, Shimpei Kobayashi

In hyperbolic 3-space ${\mathbb{H}}^3$ surfaces of constant mean curvature $H$ come in three types, corresponding to the cases $0\le H<1$, $H=1$, $H>1$. Via the Lawson corres…