Bismut Hermitian Einstein metrics and the stability of the pluriclosed flow
Differential Geometry
2024-10-01 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.2307.10207,
title = {Bismut Hermitian Einstein metrics and the stability of the pluriclosed flow},
author = {Giuseppe Barbaro},
journal= {arXiv preprint arXiv:2307.10207},
year = {2024}
}
Comments
Presentation improved, and typos corrected