## Carnot rectifiability of sub-Riemannian manifolds with constant tangent. (arXiv:1901.11227v1 [math.MG])

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.查看全文

## Solidot 文章翻译

 你的名字 留空匿名提交 你的Email或网站 用户可以联系你 标题 简单描述 内容 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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