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arXiv · 2107.00515

Lipschitz functions on submanifolds in Heisenberg groups

Antoine Julia·Sebastiano Nicolussi Golo·Davide Vittone
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Abstract

We study the behavior of Lipschitz functions on intrinsic $C^1$ 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}.

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Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone. 2021-07-01. Lipschitz functions on submanifolds in Heisenberg groups. https://arxiv.org/abs/2107.00515

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