19 citations · 23 across the 14 of their papers we have counts for
3 papers · 2 filters
Nilpotent groups and biLipschitz embeddings into
Sylvester Eriksson-Bique, Chris Gartland, Enrico Le Donne +2
We prove that if a simply connected nilpotent Lie group quasi-isometrically embeds into an space, then it is abelian. We reach this conclusion by proving that every Carnot gr…
Umbel convexity and the geometry of trees
Florent P. Baudier, Chris Gartland
For every , a new metric invariant called umbel -convexity is introduced. The asymptotic notion of umbel convexity captures the geometry of countably branching t…
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…