activity
20102026
most citedPrime ends in the Heisenberg group and the boundary behavior of quasiconformal mappings

5 citations · 12 across the 14 of their papers we have counts for

collaborators

16 papers

math.DG2026

Harmonic morphisms of sub-Riemannian Lie groups

Sebastiano Nicolussi Golo, Andrea Pinamonti, Ben Warhurst

We prove that harmonic morphisms between sub-Riemannian Lie groups are smooth, are symmetries of the sub-Riemannian Laplacian and are conformal submersions that satisfy a particula…

math.DG2025

Equivalence of sub-Laplacian on Polarized groups

Antoni Kijowski, Sebastiano Nicolussi Golo, Ben Warhurst

We characterize smooth maps between sub-Riemannian Lie groups that commute with sub-Laplacians. We show they are sub-Riemannian conformal submersions. Our work clarifies the analys…

math.AP2024

Harmonic Curves From Euclidean Domains to Heisenberg Group H1

Tomasz Adamowicz, Marco Capolli, Ben Warhurst

We define and study the harmonic curves on domains in into the first Heisenberg group . These are the -regular mappings which are critical points…

math.DG2023

Moduli of Sub-Laplacians on the second Heisenberg group

Sebastiano Nicolussi Golo, Ben Warhurst

We solve the contact equivalence problem for generalised sub-Laplacians on $\He^2$ and show that the family of sub-Laplacians on $\He^2$ modulo contact equivalence, is parameterise…

math.DG2022

Jet spaces on Carnot groups

Sebastiano Nicolussi Golo, Benjamin Warhurst

Jet spaces on have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups…

math.AP2021★ 1 cited

Schwarzians on the Heisenberg group

Tomasz Adamowicz, Ben Warhurst

We study various notions of the Schwarzian derivative for contact mappings in the Heisenberg group and introduce two definitions: (1) the CR Schwarzian derivative ba…