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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.10530 |
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| _version_ | 1866911505736269824 |
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| author | Hu, Jingchen Sheng, Li |
| author_facet | Hu, Jingchen Sheng, Li |
| contents | Suppose that u is the potential function of a complete Kähler-Einstein metric on a bounded strictly convex domain in $\mathbb{C}^n$. We prove that u itself is strictly convex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10530 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Convexity of the Potential Function of the Einstein-Kähler Metric on a Convex Domain Hu, Jingchen Sheng, Li Analysis of PDEs Suppose that u is the potential function of a complete Kähler-Einstein metric on a bounded strictly convex domain in $\mathbb{C}^n$. We prove that u itself is strictly convex. |
| title | Convexity of the Potential Function of the Einstein-Kähler Metric on a Convex Domain |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.10530 |