7 citations · 7 across the 2 of their papers we have counts for
6 papers
Metric equivalences of Heintze groups and applications to classifications in low dimension
Ville Kivioja, Enrico Le Donne, Sebastiano Nicolussi Golo
We approach the quasi-isometric classification questions on Lie groups by considering low dimensional cases and isometries alongside quasi-isometries. First, we present some new re…
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…
Intrinsic rectifiability via flat cones in the Heisenberg group
Antoine Julia, Sebastiano Nicolussi Golo
We give a geometric criterion for a topological surface in the first Heisenberg group to be an intrinsic Lipschitz graph, using planar cones instead of the usual open cones.
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…