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20112025
most citedOn the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target

3 citations · 3 across the 10 of their papers we have counts for

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Showing 2016 · math.MGShow all

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math.MG2016

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…

math.MG2016

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…