Ettore Lo Giudice

collaborators

3 papers

math.DG2025

Positive Hermitian curvature flow on 2-step nilpotent Lie groups

Ettore Lo Giudice

We study the positive Hermitian curvature flow for left-invariant metrics on $2$ -step nilpotent Lie groups with a left-invariant complex structure $J$ . We describe the long-time be…

math.DG2025

p-Kähler structures on compact complex manifolds

Ettore Lo Giudice

Let $(M, J)$ be a complex manifold of complex dimension $n$ . A $p$ -Kähler structure on $(M, J)$ is a real, closed $(p, p)$ -transverse form. In this paper, we address the conjecture of…

math.DG2024

$p$ -symplectic and $p$ -pluriclosed structures on solvmanifolds

Ettore Lo Giudice, Adriano Tomassini

Let $(M, J)$ be a $n$ -dimensional complex manifold: a $p$ -Kähler structure (resp. $p$ -symplectic structure) on $M$ is a real, closed $(p, p)$ -transverse form $Ω$ (resp. real, closed…

Positive Hermitian curvature flow on 2-step nilpotent Lie groups

p-Kähler structures on compact complex manifolds

p-symplectic and p-pluriclosed structures on solvmanifolds

$p$ -symplectic and $p$ -pluriclosed structures on solvmanifolds