About sub-Riemannian spheres

被引：6

作者：

Rifford, L. ^{[1
]}

机构：

[1] Univ Paris Sud, Dept Math, F-91405 Orsay, France

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2006年 / 13卷 / 03期

关键词：

D O I：

10.36045/bbms/1161350693

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, in absence of singular minimizing curve, the sub-riemannian distance function is locally Lipschitz outside the diagonal and satisfies Sard's theorem. Hence we deduce that the spheres are Lipschitz hypersurfaces for almost every radius in d(SR) (q(0), Q).

引用

页码：521 / 526

页数：6

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