3 papers
math.DG2026
-Kähler 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 Kähler with torsion metrics along deformations of the Iwasawa manifold and of the holomorphically parallelizable Nakamura manifold. We also s…
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 -step nilpotent Lie groups with a left-invariant complex structure . We describe the long-time be…