3 papers
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…
math.DG2026
$\del\delbar$-Lemma and Bott-Chern cohomology of twistor spaces
Anna Fino, Gueo Grantcharov, Nicoletta Tardini +2
In the paper we study the Bott-Chern and Aeppli cohomologies of the twistor space of a compact self-dual 4-manifold and we characterize the validity of the $\partial \overline \par…
math.DG2025
Hermitian geometrically formal manifolds
Tommaso Sferruzza, Adriano Tomassini
We study Hermitian geometrically formal metrics on compact complex manifolds, focusing on Dolbeault, Bott-Chern, and Aeppli cohomologies. We establish topological and cohomological…