F. Vittone

activity

20112026

most citedThe moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups

3 citations · 4 across the 6 of their papers we have counts for

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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.DG2022

Mobius fluid dynamics on the unitary groups]{Möbius fluid dynamics on the unitary groups

Daniela Emmanuele, Marcos Salvai, Francisco Vittone

We study the nonrigid dynamics induced by the standard birational actions of the split unitary groups $G = O_{o} (n, n)$ , $S U (n, n)$ and $S p (n, n)$ …

math.DG2020★ 3 cited

The moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups

Silvio Reggiani, Francisco Vittone

In this paper we determine the moduli space, up to isometric automorphism, of left-invariant metrics on a $6$ -dimensional Lie group $H$ , such that its Lie algebra $h$ ad…

math.DG2019

Cones and Cartan geometry

Antonio J. Di Scala, Carlos E. Olmos, Francisco Vittone

We show that the extended principal bundle of a Cartan geometry of type $(A (m, R), G L (m, R))$ , endowed with its extended connection $ω^$ , is isomorphic to the pri…

math.DG2018

Homogeneous Riemannian manifolds with non-trivial nullity