Nowhere differentiable intrinsic Lipschitz graphs
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
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Bulletin of the London Mathematical SocietyDate
2021Copyright
© 2021 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical
Society.
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.
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WileyISSN Search the Publication Forum
0024-6093Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/101161744
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Academy Project, AoFAdditional information about funding
AJ has been supported by the Simons Foundation Wave Project. SNG has been supported by the Academy of Finland (grant 322898 ‘Sub-Riemannian Geometry via Metric-geometry and Lie-group Theory'). DV has been supported by FFABR 2017 of MIUR (Italy) and by GNAMPA of INdAM (Italy). All three authors have been supported by the University of Padova STARS Project ‘Sub-Riemannian Geometry and Geometric Mea ...
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