On the Bergman metric of a pseudoconvex domain with a strongly pseudoconvex polyhedral boundary point
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915662426800128 |
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| author | Huang, Xiaojun James, Scott Li, Xiaoshan |
| author_facet | Huang, Xiaojun James, Scott Li, Xiaoshan |
| contents | Let $D\subset\mathbb{C}^n$ with $n>1$ be a pseudoconvex domain, possibly unbounded, that contains a non-smooth strongly pseudoconvex polyhedral boundary point. We show that the Bergman metric of $D$ is not Einstein. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08275 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Bergman metric of a pseudoconvex domain with a strongly pseudoconvex polyhedral boundary point Huang, Xiaojun James, Scott Li, Xiaoshan Complex Variables Differential Geometry Let $D\subset\mathbb{C}^n$ with $n>1$ be a pseudoconvex domain, possibly unbounded, that contains a non-smooth strongly pseudoconvex polyhedral boundary point. We show that the Bergman metric of $D$ is not Einstein. |
| title | On the Bergman metric of a pseudoconvex domain with a strongly pseudoconvex polyhedral boundary point |
| topic | Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2512.08275 |