Nowhere differentiable intrinsic Lipschitz graphs
Metric Geometry
2021-01-11 v1 Classical Analysis and ODEs
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
Cite
@article{arxiv.2101.02985,
title = {Nowhere differentiable intrinsic Lipschitz graphs},
author = {Antoine Julia and Sebastiano Nicolussi Golo and Davide Vittone},
journal= {arXiv preprint arXiv:2101.02985},
year = {2021}
}
Comments
9 pages, 2 figures