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, Early View. 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: Early View

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


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.


Keywords: differential geometry; group theory


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Ministry reporting: No, publication in press

Preliminary JUFO rating: 2


Last updated on 2021-27-09 at 10:37