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 editorsJulia, Antoine; Nicolussi Golo, Sebastiano; Vittone, Davide

Journal or seriesBulletin of the London Mathematical Society

ISSN0024-6093

eISSN1469-2120

Publication year2021

Publication date16/09/2021

Volume53

Issue number6

Pages range1766-1775

PublisherWiley

Publication countryUnited Kingdom

Publication languageEnglish

DOIhttps://doi.org/10.1112/blms.12540

Publication open accessOpenly available

Publication channel open accessPartially 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


Abstract

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.


Keywordsdifferential geometrygroup theory


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Ministry reportingYes

Reporting Year2021

JUFO rating2


Last updated on 2024-26-03 at 20:56