Pluriclosed flow and Hermitian-symplectic structures
Differential Geometry
2022-07-27 v1
Abstract
We show pluriclosed flow preserves the Hermitian-symplectic structures. And we observe that it can actually become a flow of Hermitian-symplectic forms when an extra evolution equation determined by the Bismut-Ricci form is considered. Moreover, we get a topological obstruction to the long-time existence in arbitrary dimension.
Cite
@article{arxiv.2207.12643,
title = {Pluriclosed flow and Hermitian-symplectic structures},
author = {Yanan Ye},
journal= {arXiv preprint arXiv:2207.12643},
year = {2022}
}