A Rigidity theorem on conformally compact Einstein manifolds in high dimensions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910004458553344 |
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| author | Ge, Yuxin Chang, Sun-Yung Alice |
| author_facet | Ge, Yuxin Chang, Sun-Yung Alice |
| contents | In this paper, we establish a Liouville type rigidity result for a class of asymptotically hyperbolic non-compact Einstein metrics defined on manifolds of dimension $d\ge 5$ extending the earlier result in dimension $d=4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21441 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Rigidity theorem on conformally compact Einstein manifolds in high dimensions Ge, Yuxin Chang, Sun-Yung Alice Differential Geometry In this paper, we establish a Liouville type rigidity result for a class of asymptotically hyperbolic non-compact Einstein metrics defined on manifolds of dimension $d\ge 5$ extending the earlier result in dimension $d=4$. |
| title | A Rigidity theorem on conformally compact Einstein manifolds in high dimensions |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2601.21441 |