New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself
The authors give an explicit construction of a one-parameter family of nonconformal harmonic diffeomorphisms of the hyperbolic plane. They are realized as the Gauss map of spacelike surfaces of revolution of constant mean curvature in the three-dimensional Minkowski space. A description of the boundary behavior of such harmonic maps is also given.
scientific article; zbMATH DE number 4096416