A note on curvature estimate of the Hermitian-Yang-Mills flow
Differential Geometry
2016-11-15 v1
Abstract
In this paper, we study the curvature estimate of the Hermitian-Yang-Mills flow on holomorphic vector bundles. In one simple case, we show that the curvature of the evolved Hermitian metric is uniformly bounded away from the analytic subvariety determined by the Harder-Narasimhan-Seshadri filtration of the holomorphic vector bundle.
Keywords
Cite
@article{arxiv.1611.04272,
title = {A note on curvature estimate of the Hermitian-Yang-Mills flow},
author = {Jiayu Li and Chuanjing Zhang and Xi Zhang},
journal= {arXiv preprint arXiv:1611.04272},
year = {2016}
}