7 citations · 43 across the 22 of their papers we have counts for
25 papers
Quantitative versions of Pansu Asymptotic Theorem and of Mitchell Tangent Theorem
Enrico Le Donne, Sebastiano Nicolussi Golo, Andrea Tettamanti
We quantitatively study the speed of convergence of geodesic Lie groups to their metric limits. For nilpotent geodesic Lie groups, we give estimates on the difference of the origin…
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…
Hypergenerated Carnot groups
Enrico Le Donne, Luca Nalon, Nicola Paddeu +1
In this paper we provide an algebraic characterization of those stratified groups in which boundaries with locally constant normal are locally flat. We show that these groups, whic…
Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2
Enrico Le Donne, Luca Nalon
We consider 2-step free-Carnot groups equipped with sub-Finsler distances. We prove that the metric spheres are codimension-one rectifiable from the Euclidean viewpoint. The result…
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…
Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups
Gioacchino Antonelli, Daniela Di Donato, Sebastiano Don +1
In arbitrary Carnot groups we study intrinsic graphs of maps with horizontal target. These graphs are regular exactly when the map is uniformly intrinsically differentiable…