paper

Lipschitz functions on submanifolds in Heisenberg groups

arXiv:2107.00515

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 $\HH$-rectifiable sets, and a coarea formula on $\HH$-rectifiable sets that completes the program started in~\cite{JNGV}.

16 pages

Lipschitz functions on submanifolds in Heisenberg groups · wovepaper