BiLipschitz embeddings of spheres into jet space Carnot groups not admitting Lipschitz extensions

Derek Jung

For all $k,n\ge 1$, we construct a biLipschitz embedding of ${\mathbb{S}}^n$ into the jet space Carnot group $J^k({\mathbb{R}}^n)$ that does not admit a Lipschitz extension to $\mathbb…