A1 Journal article (refereed)
Lipschitz Functions on Submanifolds of Heisenberg Groups (2023)

Julia, A., Nicolussi Golo, S., & Vittone, D. (2023). Lipschitz Functions on Submanifolds of Heisenberg Groups. International Mathematics Research Notices, 2023(9), 7399-7422. https://doi.org/10.1093/imrn/rnac066

JYU authors or editors

Nicolussi Golo, Sebastiano

Publication details

All authors or editors: Julia, Antoine; Nicolussi Golo, Sebastiano; Vittone, Davide

Journal or series: International Mathematics Research Notices

ISSN: 1073-7928

eISSN: 1687-0247

Publication year: 2023

Publication date: 29/03/2022

Volume: 2023

Issue number: 9

Pages range: 7399-7422

Publisher: Oxford University Press (OUP)

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1093/imrn/rnac066

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/83650

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2107.00515

Abstract

We study the behavior of Lipschitz functions on intrinsic C1 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 H-rectifiable sets and a coarea formula on H-rectifiable sets that completes the program started in [18].

Keywords: differential geometry; group theory; manifolds (mathematics); Lie groups

Fields of science: