A metric characterization of Carnot groups

By Enrico Le Donne. 2013

60 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/775abf14ceb19859ec4918d1d3dc0e814e8fdcd3