Carnot rectifiability of sub-Riemannian manifolds with constant tangent

被引：0
|
作者：
Le Donne, Enrico [1 ,2 ]
Young, Robert [3 ]
机构：
[1] Univ Fribourg, Dept Math, Chemin Musee 23, CH-1700 Fribourg, Switzerland
[2] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland
[3] NYU, Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
来源：
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2023年 / 24卷 / 01期
基金：
欧洲研究理事会; 芬兰科学院;
关键词：
SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that if M is a sub-Riemannian manifold and N is a Carnot group such that the nilpotentization of M at almost every point is isomorphic to N, then there are subsets of N of positive measure that embed into M by biLipschitz maps. Furthermore, M is countably N-rectifiable, i.e., all of M except for a null set can be covered by countably many such maps.
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页码：71 / 96
页数：26
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