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).
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页码：521 / 526
页数：6
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