7 citations · 7 across the 5 of their papers we have counts for
6 papers · 1 filter
Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
Katrin FÄssler, Enrico Le Donne, Sebastiano Nicolussi Golo +2
We study conditions under which quasi-conformal homeomorphisms are quasi-isometries. We show that if two nilpotent geodesic Lie groups are quasi-conformally homeomorphic, then they…
Lipschitz functions on submanifolds in Heisenberg groups
Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone
We study the behavior of Lipschitz functions on intrinsic submanifolds of Heisenberg groups: our main result is their almost everywhere tangential Pansu differentiability. We…
Sub-Finsler horofunction boundaries of the Heisenberg group
Nate Fisher, Sebastiano Nicolussi Golo
We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics---that is, those that arise as asymptotic cones of word metrics…
Area-minimizing cones in the Heisenberg group
Sebastiano Nicolussi Golo, Manuel Ritoré
We present a characterization of minimal cones of class and in the first Heisenberg group , with an additional set of examples of minimal cones that are n…
Metric Lie groups admitting dilations
Enrico Le Donne, Sebastiano Nicolussi Golo
We consider left-invariant distances on a Lie group with the property that there exists a multiplicative one-parameter group of Lie automorphisms $(0, \infty)\rightarrow\ma…
The Besicovitch covering property in the Heisenberg group revisited
Sebastiano Golo, Séverine Rigot
The Besicovitch covering property (BCP) is known to be one of the fundamental tools in measure theory, and more generally, a usefull property for numerous purposes in analysis and…