Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds
Differential Geometry
2025-07-16 v1
Abstract
In this paper, we investigate the projectively flat bundles over a class of non-compact Gauduchon manifolds. By combining heat flow techniques and continuity methods, we establish a correspondence between the existence of Hermitian-Poisson metrics and the semi-simplicity property on projectively flat bundles.
Keywords
Cite
@article{arxiv.2507.10973,
title = {Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds},
author = {Jie Geng and Zhenghan Shen and Xi Zhang},
journal= {arXiv preprint arXiv:2507.10973},
year = {2025}
}