Geometric inequalities for electrostatic systems with boundary
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917205408481280 |
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| author | Freitas, Allan Leandro, Benedito Ribeiro Jr, Ernani Sabo, Guilherme |
| author_facet | Freitas, Allan Leandro, Benedito Ribeiro Jr, Ernani Sabo, Guilherme |
| contents | In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostatic manifolds in higher dimensions, extending previous results in the literature. Moreover, we prove sharp boundary estimates and isoperimetric-type inequalities for electrostatic manifolds, as well as volume and boundary inequalities involving the Brown-York and Hawking masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10258 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric inequalities for electrostatic systems with boundary Freitas, Allan Leandro, Benedito Ribeiro Jr, Ernani Sabo, Guilherme Differential Geometry In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostatic manifolds in higher dimensions, extending previous results in the literature. Moreover, we prove sharp boundary estimates and isoperimetric-type inequalities for electrostatic manifolds, as well as volume and boundary inequalities involving the Brown-York and Hawking masses. |
| title | Geometric inequalities for electrostatic systems with boundary |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2508.10258 |