4 papers
Pluriclosed deformations of Bismut flat metrics
Giuseppe Barbaro
We deform the complex structure of compact simply-connected Bismut flat manifolds, obtaining new complex manifolds that admit pluriclosed metrics but do not admit Bismut flat metri…
On Bismut--Ambrose--Singer manifolds
Giuseppe Barbaro, Francesco Pediconi
We investigate Bismut--Ambrose--Singer (BAS) manifolds, namely Hermitian manifolds whose Bismut connection has parallel torsion and parallel curvature. We first establish a canonic…
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…