11 citations · 37 across the 20 of their papers we have counts for
25 papers
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…
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…
Normal Curves in Sub-Finsler Lie Groups: Branching for Strongly Convex Norms and Face Stability for Polyhedral Norms
Enrico Le Donne, Sebastiano Nicolussi Golo, Nicola Paddeu
We consider Lie groups equipped with left-invariant subbundles of their tangent bundles and norms on them. On these sub-Finsler structures, we study the normal curves in the sense…
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…
The Bernstein problem for Sobolev intrinsic graphs in the Heisenberg group
Sebastiano Nicolussi Golo, Francesco Serra Cassano, Mattia Vedovato
In the first Heisenberg group, we study entire, locally Sobolev intrinsic graphs that are stable for the sub-Riemannian area. We show that, under appropriate integrability conditio…
Asymptotics of Riemannian Lie groups with nilpotency step 2
Enrico Le Donne, Luca Nalon, Sebastiano Nicolussi Golo +1
We derive sharp estimates comparing asymptotic Riemannian or sub-Riemannian metrics in 2-step nilpotent Lie groups. For each metric, we construct a Carnot metric whose square remai…