6 citations · 12 across the 6 of their papers we have counts for
6 papers
Bismut Hermitian Einstein metrics and the stability of the pluriclosed flow
Giuseppe Barbaro
We compute the (1,1)-Aeppli cohomology of compact simply-connected Lie groups. From this, we deduce that the Bismut flat metrics on the compact Bismut flat manifolds with finite fu…
A survey on rational curves on complex surfaces
Giuseppe Barbaro, Filippo Fagioli, Ángel David Ríos Ortiz
In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the Kähler and non-Kähler setup. We systematically go through the Enriques--K…
Second-Chern-Einstein metrics on 4-dimensional almost-Hermitian manifolds
Giuseppe Barbaro, Mehdi Lejmi
We study 4-dimensional second-Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis the Riemannian dual of the Lee form is a Ki…
Global stability of the Pluriclosed flow on compact simply-connected simple Lie groups of rank two
Giuseppe Barbaro
We compute the (1,1)-Aeppli cohomology of compact simply-connected simple Lie groups of rank two. In particular, we verify that they are of dimension one and generated by the class…
On the curvature of the Bismut connection: Bismut Yamabe problem and Calabi-Yau with torsion metrics
Giuseppe Barbaro
We study two natural problems concerning the scalar and the Ricci curvatures of the Bismut connection. Firstly, we study an analog of the Yamabe problem for Hermitian manifolds rel…
Griffiths positivity for Bismut curvature and its behaviour along Hermitian Curvature Flows
Giuseppe Barbaro
In this note we study a positivity notion for the curvature of the Bismut connection; more precisely, we study the notion of \emph{Bismut-Griffiths-positivity} for complex Hermitia…