3 citations · 4 across the 5 of their papers we have counts for
13 papers
Cohomological properties and Hermitian metrics of complex non-Kähler manifolds
Daniele Angella, Nicoletta Tardini
We give a partial account of some problems concerning cohomological invariants and metric properties of complex non-Kähler manifolds.
$\del\delbar$-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…
Complex symplectic structures: deformations and cohomology
Giovanni Bazzoni, Marco Freibert, Adela Latorre +1
We show that complex symplectic structures need not be preserved under small deformations, and we find sufficient conditions for this to happen. We study various cohomologies of co…
The pluriclosed flow and the Vaisman condition
Giuseppe Barbaro, Francesco Pediconi, Nicoletta Tardini
We prove that the pluriclosed flow preserves the Vaisman condition on compact complex surfaces if and only if the starting metric has constant scalar curvature.
Pluriclosed manifolds with parallel Bismut torsion
Giuseppe Barbaro, Francesco Pediconi, Nicoletta Tardini
We present a complete classification of simply-connected pluriclosed manifolds with parallel Bismut torsion, extending previously known results in the literature. Consequently, we…
Bott-Chern harmonic forms and primitive decompositions on compact almost Kähler manifolds
Riccardo Piovani, Nicoletta Tardini
Let be a compact -dimensional almost Kähler manifold. We prove primitive decompositions for Bott-Chern and Aeppli harmonic forms in special bidegrees and show that su…