A METRIC CHARACTERIZATION OF CARNOT GROUPS

被引：0

作者：

Le Donne, Enrico ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 02期

关键词：

Carnot groups; subRiemannian geometry; CARATHEODORY SPACE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：845 / 849

页数：5

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