Silvio Reggiani

activity

20242026

collaborators

4 papers

math.DG2026

On the structure of $2$ -step nilpotent Lorentzian naturally reductive Lie groups

Brian Luporini, Silvio Reggiani, Francisco Vittone

We study $2$ -step nilpotent Lie groups with naturally reductive left-invariant Lorentzian metrics with respect to the presentation group $N ⋊ H^{aut}$ . Replaci…

math.DG2025

The distribution of symmetry of Lorentzian naturally reductive nilmanifolds

Brian Luporini, Silvio Reggiani, Francisco Vittone

We study $2$ -step nilpotent Lorentzian Lie groups $N$ , which are naturally reductive with respect to a certain class of transitive subgroups of isometries. We describe the isotropy…

math.DG2025

The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds

Isolda Cardoso, Ana Cosgaya, Silvio Reggiani

A real Lie algebra is said to be characteristically solvable if its derivation algebra is solvable. We explicitly determine the moduli space of left-invariant metrics, up to isomet…

math.DG2024

The geometry of sedenion zero divisors