On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912166759628800 |
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| author | Sui, Zhenan |
| author_facet | Sui, Zhenan |
| contents | We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain in Euclidean space. We then formulate this problem for more general equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_14139 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature Sui, Zhenan Differential Geometry We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain in Euclidean space. We then formulate this problem for more general equations. |
| title | On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2306.14139 |