2 papers
math.MG2021
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…
math.DG2015
Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary
Enrico Le Donne, Sebastiano Nicolussi Golo, Andrea Sambusetti
The paper is devoted to the large scale geometry of the Heisenberg group equipped with left-invariant Riemannian distances. We prove that two such distances have bounde…