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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.17536 |
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| _version_ | 1866908603460354048 |
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| author | Yuan, Rirong |
| author_facet | Yuan, Rirong |
| contents | We use certain Morse functions to construct conformal metrics with negative sectional curvature on locally conformally flat manifolds with boundary. Moreover, without conformally flatness assumption, we also construct conformal metric of positive Einstein tensor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The existence of negatively curved metrics on locally conformally flat manifolds with boundary Yuan, Rirong Differential Geometry We use certain Morse functions to construct conformal metrics with negative sectional curvature on locally conformally flat manifolds with boundary. Moreover, without conformally flatness assumption, we also construct conformal metric of positive Einstein tensor. |
| title | The existence of negatively curved metrics on locally conformally flat manifolds with boundary |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2510.17536 |