1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.GR2020★ 1 cited
Polynomial and horizontally polynomial functions on Lie groups
Gioacchino Antonelli, Enrico Le Donne
We generalize both the notion of polynomial functions on Lie groups and the notion of horizontally affine maps on Carnot groups. We fix a subset of the algebra of…
math.MG2019
Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces
Gioacchino Antonelli, Enrico Le Donne
This paper is related to the problem of finding a good notion of rectifiability in sub-Riemannian geometry. In particular, we study which kind of results can be expected for smooth…
math.DG2015
Asymptotic behavior of the Riemannian Heisenberg group and its horoboundary
Enrico Le Donne, Sebastiano Nicolussi Golo, Andrea Sambusetti
The paper is devoted to the large scale geometry of the Heisenberg group equipped with left-invariant Riemannian distances. We prove that two such distances have bounde…