2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68174This paper is about non-Euclidean analysis on Lie groups endowed with left invariant distributions, seen as sub-Riemannian manifolds. This is a an updated version, which will be modified according to the contributions of the other participants to the Borel Seminar. The current version can be downloaded at http://irmi.epfl.ch/cag/buliga_sr.html . All comments are welcomed.70 pages, updated version of my talks in the Borel Seminar 2003, "Tangent spaces to metric spaces"Metric GeometrySymplectic Geometry53C17, 53D05text