Lipschitz functions on submanifolds in Heisenberg groups
Metric Geometry
2021-07-02 v1 Classical Analysis and ODEs
Abstract
We study the behavior of Lipschitz functions on intrinsic submanifolds of Heisenberg groups: our main result is their almost everywhere tangential Pansu differentiability. We also provide two applications: a Lusin-type approximation of Lipschitz functions on -rectifiable sets, and a coarea formula on -rectifiable sets that completes the program started in~\cite{JNGV}.
Cite
@article{arxiv.2107.00515,
title = {Lipschitz functions on submanifolds in Heisenberg groups},
author = {Antoine Julia and Sebastiano Nicolussi Golo and Davide Vittone},
journal= {arXiv preprint arXiv:2107.00515},
year = {2021}
}
Comments
16 pages