Calculus of Variations and Geometric Measure Theory

E. Le Donne

A metric characterization of Carnot groups

created by ledonne on 25 Aug 2014


Accepted Paper

Inserted: 25 aug 2014
Last Updated: 25 aug 2014

Journal: Proceedings of the American Mathematical Society
Year: 2014


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.