Ettore Lo Giudice

activity

20242026

collaborators

4 papers

math.DG2026

$p$ -KÃ¤hler structures on nilmanifolds and holomorphically parallelizable manifolds

Ettore Lo Giudice, Asia Mainenti

We prove the Alessandrini-Bassanelli conjecture on nilmanifolds with nilpotent complex structures and on holomorphically parallelizable solvmanifolds. As a consequence, we classify…

math.DG2026

Holomorphically parallelizable solvmanifolds with special metrics and their deformations

Ettore Lo Giudice, Lapo Rubini, Adriano Tomassini

We investigate the existence of strong KÃ¤hler with torsion metrics along deformations of the Iwasawa manifold and of the holomorphically parallelizable Nakamura manifold. We also…

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.DG2024

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

Ettore Lo Giudice, Adriano Tomassini

Let $(M, J)$ be a $n$ -dimensional complex manifold: a $p$ -KÃ¤hler structure (resp. $p$ -symplectic structure) on $M$ is a real, closed $(p, p)$ -transverse form $I^c ◯$ (resp. real, close…

p-KÃ¤hler structures on nilmanifolds and holomorphically parallelizable manifolds

Holomorphically parallelizable solvmanifolds with special metrics and their deformations

Positive Hermitian curvature flow on 2-step nilpotent Lie groups

p-symplectic and p-pluriclosed structures on solvmanifolds

$p$ -KÃ¤hler structures on nilmanifolds and holomorphically parallelizable manifolds

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