A1 Journal article (refereed)
Nowhere differentiable intrinsic Lipschitz graphs (2021)

Julia, A., Nicolussi Golo, S., & Vittone, D. (2021). Nowhere differentiable intrinsic Lipschitz graphs. Bulletin of the London Mathematical Society, 53(6), 1766-1775. https://doi.org/10.1112/blms.12540

JYU authors or editors

Publication details

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

Journal or series: Bulletin of the London Mathematical Society

ISSN: 0024-6093

eISSN: 1469-2120

Publication year: 2021

Volume: 53

Issue number: 6

Pages range: 1766-1775

Publisher: Wiley

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1112/blms.12540

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/77910

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2101.02985


We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow-up limits, none of which is a homogeneous subgroup. This provides counterexamples to a Rademacher theorem for intrinsic Lipschitz graphs.

Keywords: differential geometry; group theory

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Preliminary JUFO rating: 2

Last updated on 2022-17-01 at 12:06