Bismut Hermitian Einstein metrics and the stability of the pluriclosed flow

Author:

Giuseppe Barbaro

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Complex Variables (math.CV)

journal:

date:

2023-07-13 16:00:00

Abstract

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 fundamental group are globally stable for the pluriclosed flow. This prevents the existence of non-flat homogeneous Bismut Hermitian Einstein (hence also pluriclosed Calabi--Yau with torsion) metrics on C-spaces.

PDF: Bismut Hermitian Einstein metrics and the stability of the pluriclosed flow.pdf