D. Jung

activity

20162018

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Showing 2017Show all

2 papers · 1 filter

math.GT2017

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

Derek Jung

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

math.MG2017

A variant of Gromov's problem on Hölder equivalence of Carnot groups

Derek Jung

It is unknown if there exists a locally $α$ -Hölder homeomorphism $f : R^{3} \to H^{1}$ for any $\frac{1}{2} < α \leq \frac{2}{3}$ , although the identity map $\mathbb{R}^3\t…