On compactness conformally compact Einstein manifolds and uniqueness of Graham-Lee metrics, III
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866917225806430208 |
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| author | Chang, Sun-Yung A. Ge, Yuxin Jin, Xiaoshang Qing, Jie |
| author_facet | Chang, Sun-Yung A. Ge, Yuxin Jin, Xiaoshang Qing, Jie |
| contents | In this paper, we establish a compactness result for a class of conformally compact Einstein metrics defined on manifolds of dimension $d\ge 4$. As an application, we derive the global uniqueness of a class of conformally compact Einstein metric defined on the $d$-dimensional ball constructed in the earlier work of Graham-Lee with $d\ge 4$. As a second application, we establish some gap phenomenon for a class of conformal invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_03075 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On compactness conformally compact Einstein manifolds and uniqueness of Graham-Lee metrics, III Chang, Sun-Yung A. Ge, Yuxin Jin, Xiaoshang Qing, Jie Differential Geometry In this paper, we establish a compactness result for a class of conformally compact Einstein metrics defined on manifolds of dimension $d\ge 4$. As an application, we derive the global uniqueness of a class of conformally compact Einstein metric defined on the $d$-dimensional ball constructed in the earlier work of Graham-Lee with $d\ge 4$. As a second application, we establish some gap phenomenon for a class of conformal invariants. |
| title | On compactness conformally compact Einstein manifolds and uniqueness of Graham-Lee metrics, III |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2107.03075 |