From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Sard property for rank 2 polarizations in metabelian Lie groups
Enrico Le Donne, Antonio Lerario, Luca Nalon +2
The paper establishes dimension bounds for abnormal and Goh‑abnormal sets in rank‑2 polarized metabelian Lie groups, proving that the endpoint map satisfies the Sard property and t…
math.DG2025
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…
math.MG2025
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…