度量微分、单调性和到L^1的映射
Metric differentiation, monotonicity and maps to L^1
摘要：
本文给出了L^1中Lipschitz映射的无穷小结构的一种新方法。作为第一个应用，我们给出了先前论文中主要定理的另一种证明，即海森堡群不允许在L^1中有双李普希茨嵌入。证明使用度量微分定理的保罗和削减度量分解减少非嵌入参数的分类单调子集的海森堡群。
英文摘要：
We give a new approach to the infinitesimal structure of Lipschitz maps into L^1. As a first application, we give an alternative proof of the main theorem from an earlier paper, that the Heisenberg group does not admit a bi-Lipschitz embedding in L^1. The proof uses the metric differentiation theorem of Pauls and the cut metric decomposition to reduce the nonembedding argument to a classification of monotone subsets of the Heisenberg group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
