7 papers
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…
$\del\delbar$-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…
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.
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.
Projectively induced Kähler cones over regular Sasakian manifolds
Stefano Marini, Nicoletta Tardini, Michela Zedda
Motivated by a conjecture in [9] we prove that the Kähler cone over a regular complete Sasakian manifold is Ricci-flat and projectively induced if and only if it is flat. We also…