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 SocietyPäivämäärä
2021Tekijänoikeudet
© 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 Hae Julkaisufoorumista
0024-6093Asiasanat
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https://converis.jyu.fi/converis/portal/detail/Publication/101161744
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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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