90 citations · 399 across the 51 of their papers we have counts for
58 papers
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…
$\del\delbar$-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…
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…
Almost complex blow-ups and positive closed -forms on -dimensional almost complex manifolds
Richard Hind, Tommaso Sferruzza, Adriano Tomassini
Let be a -dimensional almost complex manifold and let . We define the notion of almost complex blow-up of at . We prove the existence of almost compl…
On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms
Lorenzo Sillari, Adriano Tomassini
In this paper we introduce several new cohomologies of almost complex manifolds, among which stands a generalization of Bott-Chern and Aeppli cohomologies defined using the operato…
Rank of the Nijenhuis tensor on parallelizable almost complex manifolds
Lorenzo Sillari, Adriano Tomassini
We study almost complex structures on parallelizable manifolds via the rank of their Nijenhuis tensor. First, we show how the computations of such rank can be reduced to finding sm…