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
Publication date: 16/09/2021
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
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
Contributing organizations
Related projects
- Sub-Riemannian Geometry via Metric-geometry and Lie-group Theory
- Le Donne, Enrico
- Research Council of Finland
Ministry reporting: Yes
Reporting Year: 2021
JUFO rating: 2