Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space (Q1801596)

The authors study complete surfaces of constant mean curvature equal to \(-1\) in the three dimensional hyperbolic space. These surfaces are related with minimal surfaces in \(\mathbb{R}^ 3\). For instance, its hyperbolic Gauss map is holomorphic. They study regular ends (where the Gauss maps extends across the end) and in particular embedded regular ends. They also give several examples.