D. Jung

activity

20162018

collaborators

4 papers

math.MG2018

Dimension results for mappings of jet space Carnot groups

Derek Jung

We propose analogues of horizontal and vertical projections for model filiform jet space Carnot groups. Every pair consisting of the jet of a smooth function on $R$ and a…

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…

math.MG2016

Quasiconformal mappings on the Grushin plane

Chris Gartland, Derek Jung, Matthew Romney

We prove that a self-homeomorphism of the Grushin plane is quasisymmetric if and only if it is metrically quasiconformal and if and only if it is geometrically quasiconformal. As t…