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.
Nowhere differentiable intrinsic Lipschitz graphs
Julia, Antoine;Nicolussi Golo, Sebastiano;Vittone, Davide
2021
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.
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