3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2024
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.