We prove analogs of classical almost sure dimension theorems for Euclidean projection mappings in the first Heisenberg group, equipped with a sub-Riemannian metric.
Cite this article
Zoltán M. Balogh, Estibalitz Durand-Cartagena, Katrin Fässler, Pertti Mattila, Jeremy T. Tyson, The effect of projections on dimension in the Heisenberg group. Rev. Mat. Iberoam. 29 (2013), no. 2, pp. 381–432DOI 10.4171/RMI/725