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arXiv · 2507.10973

Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds

Jie Geng·Zhenghan Shen·Xi Zhang
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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.

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Jie Geng, Zhenghan Shen, Xi Zhang. 2025-07-15. Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds. https://arxiv.org/abs/2507.10973

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