C. Gartland

activity

20162026

most citedPurely 1-unrectifiable metric spaces and locally flat Lipschitz functions

19 citations · 23 across the 14 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.MG2021

Nilpotent groups and biLipschitz embeddings into $L^{1}$

Sylvester Eriksson-Bique, Chris Gartland, Enrico Le Donne +2

We prove that if a simply connected nilpotent Lie group quasi-isometrically embeds into an $L^{1}$ space, then it is abelian. We reach this conclusion by proving that every Carnot gr…

math.MG2021★ 1 cited

Umbel convexity and the geometry of trees

Florent P. Baudier, Chris Gartland

For every $p \in (0, \infty)$ , a new metric invariant called umbel $p$ -convexity is introduced. The asymptotic notion of umbel convexity captures the geometry of countably branching t…

math.MG2021★ 19 cited

Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions

Ramón J. Aliaga, Chris Gartland, Colin Petitjean +1

We characterize compact metric spaces whose locally flat Lipschitz functions separate points uniformly as exactly those that are purely 1-unrectifiable, resolving a problem of Weav…

Nilpotent groups and biLipschitz embeddings into L1

Umbel convexity and the geometry of trees

Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions

Nilpotent groups and biLipschitz embeddings into $L^{1}$