The Dirichlet problem for constant mean curvature surfaces in Heisenberg space

Luis J. Alias, Marcos Dajczer, Harold Rosenberg

We study constant mean curvature graphs in the Riemannian 3-dimensional Heisenberg spaces $\mathcal{H}=\mathcal{H}(\tau )$. Each such $\mathcal{H}$ is the total space of a Riemannian submersion…