Subanalyticity of the sub-Riemannian distance

被引：3
|
作者：
Jacquet S. [1 ]
机构：
[1] La Praille
来源：
Journal of Dynamical and Control Systems | 1999年 / 5卷 / 3期
关键词：
Sub-Riemannian structures; subanalytic maps;
D O I：
10.1023/A:1021762416005
中图分类号：
学科分类号：
摘要：
The aim of this paper is to study the subanalyticity of the distance function d defined by a sub-Riemannian structure (Δ, g). If the distribution is of degree 2, we prove that d is subanalytic and if Δ2 is fat d is subanalytic far away from the diagonal. In this last case we prove in fact that the function d(x0, ·) is subanalytic in a neighborhood of x0.
引用
收藏
页码：303 / 328
页数：25
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