Any sub-Riemannian metric has points of smoothness

被引：18

作者：

Agrachev, A. A. ^{[1
,2
]}

机构：

[1] SISSA, I-34014 Trieste, Italy

[2] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia

来源：

DOKLADY MATHEMATICS | 2009年 / 79卷 / 01期

关键词：

Steklov Institute; DOKLADY Mathematic; Regular Point; Conjugate Point; Lagrange Submanifold;

D O I：

10.1134/S106456240901013X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the result stated in the title that is equivalent to the existence of a regular point of the sub-Riemannian exponential mapping. In the case of a complete real-analytic sub-Riemannian manifold, we prove that the metric is analytic on an open everywhere dense subset.

引用

页码：45 / 47

页数：3

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