A metric characterization of Carnot groups
Metric Geometry
2014-08-26 v2
Abstract
We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically homogeneous.
Keywords
Cite
@article{arxiv.1304.7493,
title = {A metric characterization of Carnot groups},
author = {Enrico Le Donne},
journal= {arXiv preprint arXiv:1304.7493},
year = {2014}
}