Some remarks about parametrizations of intrinsic regular surfaces in the Heisenberg group (Q845060)

The authors consider \(\mathbb H\)-regular surfaces in \({\mathbb H}^1\) and \({\mathbb H}^n\). They obtain some interesting geometric properties: \({\mathbb H}-\)regular surfaces in \({\mathbb H}^n\) can be seen as intrinsic graphs, while \(\mathbb H\)-regular surfaces in \({\mathbb H}^1\) are not bi-Lipschitz equivalent to the plane \({\mathbb R}^2\) endowed with the parabolic distance. This results is interesting.