A METRIC CHARACTERIZATION OF CARNOT GROUPS

作者：Le Donne Enrico^*

来源：Proceedings of the American Mathematical Society, 2015, 143(2): 845-849.

• Carnot groups
• subRiemannian geometry

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.

• 出版日期2015-2