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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.06188 |
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| _version_ | 1866912752456433664 |
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| author | Ma, Shiguang Qing, Jie |
| author_facet | Ma, Shiguang Qing, Jie |
| contents | In this paper, we want to give an exposition of our recent work on linear and nonlinear potential theory and their applications in conformal geometry. We use potential theory to study linear and quasilinear equations arising from conformal geometry. We establish the asymptotic behavior near singularities and derive applications in conformal geometry. In particular, we establish some Huber's type theorems and Hausdorff dimension estimates of the ends in conformal geometry in general dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Potential theory and applications in conformal geometry Ma, Shiguang Qing, Jie Differential Geometry Analysis of PDEs 53A30, 53C21, 31B35, 31B05, 31B15, 31C40 In this paper, we want to give an exposition of our recent work on linear and nonlinear potential theory and their applications in conformal geometry. We use potential theory to study linear and quasilinear equations arising from conformal geometry. We establish the asymptotic behavior near singularities and derive applications in conformal geometry. In particular, we establish some Huber's type theorems and Hausdorff dimension estimates of the ends in conformal geometry in general dimensions. |
| title | Potential theory and applications in conformal geometry |
| topic | Differential Geometry Analysis of PDEs 53A30, 53C21, 31B35, 31B05, 31B15, 31C40 |
| url | https://arxiv.org/abs/2512.06188 |