Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916844521127936 |
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| author | Geng, Jie Shen, Zhenghan Zhang, Xi |
| author_facet | Geng, Jie Shen, Zhenghan Zhang, Xi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10973 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds Geng, Jie Shen, Zhenghan Zhang, Xi Differential Geometry 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. |
| title | Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2507.10973 |