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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.18160 |
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| _version_ | 1866929614122647552 |
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| author | Zhou, Huihuang |
| author_facet | Zhou, Huihuang |
| contents | In this paper, we genelize the Heintze-Karcher type inequalities for fractional Q-curvature $Q_{2γ}$ on conformally compact Einstein manifolds. Such inequality holds for all $γ\in (0,1]$. In particular, for $γ=\frac{1}{2}$ and $γ=1$, we obtain some rigidity theorems by characterising the equalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18160 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Heintze-Karcher Type Inequalities for Fractional GJMS Operators Zhou, Huihuang Differential Geometry 53C25 In this paper, we genelize the Heintze-Karcher type inequalities for fractional Q-curvature $Q_{2γ}$ on conformally compact Einstein manifolds. Such inequality holds for all $γ\in (0,1]$. In particular, for $γ=\frac{1}{2}$ and $γ=1$, we obtain some rigidity theorems by characterising the equalities. |
| title | Heintze-Karcher Type Inequalities for Fractional GJMS Operators |
| topic | Differential Geometry 53C25 |
| url | https://arxiv.org/abs/2402.18160 |