3 citations · 3 across the 10 of their papers we have counts for
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Heisenberg quasiregular ellipticity
Katrin Fässler, Anton Lukyanenko, Jeremy T. Tyson
Following the Euclidean results of Varopoulos and Pankka--Rajala, we provide a necessary topological condition for a sub-Riemannian 3-manifold to admit a nonconstant quasiregul…
Quasiconvexity in the Heisenberg group
David A. Herron, Anton Lukyanenko, Jeremy T. Tyson
We show that if is a closed subset of the Heisenberg group whose vertical projections are nowhere dense, then the complement of is quasiconvex. In particular, closed sets w…
Separated Nets in Nilpotent Groups
Tullia Dymarz, Michael Kelly, Sean Li +1
In this paper we generalize several results on separated nets in Euclidean space to separated nets in connected simply connected nilpotent Lie groups. We show that every such group…