A Weierstrass representation formula for minimal surfaces in \(\mathbb H_{3}\) and \(\mathbb H^{2} \times \mathbb R\)
The authors construct a Weierstrass representation for simply connected immersed minimal hypersurfaces in the Heisenberg group \(H_3\) and in \(H^2\times\mathbb R\). They also discuss several examples. This is based on a more general result on harmonic maps and minimal immersions into simply connected Riemannian manifolds.
scientific article; zbMATH DE number 5156853