Hermitian metrics on complex non-Kähler manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913840684335104 |
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| author | Angella, Daniele |
| author_facet | Angella, Daniele |
| contents | In this survey, we consider various analytic problems related to the geometry of the Chern connection on Hermitian manifolds, such as the existence of metrics with constant Chern-scalar curvature, generalizations of the Kähler-Einstein condition to the non-Kähler setting, and the convergence of the Chern-Ricci flow on compact complex surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16936 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hermitian metrics on complex non-Kähler manifolds Angella, Daniele Complex Variables Differential Geometry In this survey, we consider various analytic problems related to the geometry of the Chern connection on Hermitian manifolds, such as the existence of metrics with constant Chern-scalar curvature, generalizations of the Kähler-Einstein condition to the non-Kähler setting, and the convergence of the Chern-Ricci flow on compact complex surfaces. |
| title | Hermitian metrics on complex non-Kähler manifolds |
| topic | Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2503.16936 |