Luca Nalon

works on

abnormal geodesics 1 metabelian lie groups 1 polarizations 1 sard property 1 sub-riemannian geometry 1

From the 1 of 4 linked papers with an AI index.

activity

20242026

collaborators

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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.DG2024

On the H-type deviation of step two Carnot groups

Luca Nalon, Jeremy T. Tyson

The H-type deviation, $I^´ (G)$ , of a step two Carnot group $G$ quantifies the extent to which $G$ deviates from the geometrically and algebraically tra…