Isoperimetric inequality for nearly spherical domains in the Bergman ball
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915785367093248 |
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| author | Kalaj, David |
| author_facet | Kalaj, David |
| contents | We prove a quantitative isoperimetric inequality for the nearly spherical subset of the Bergman ball in $\mathbb{C}^n$. We prove the Fuglede theorem for such sets. This result is a counterpart of a similar result obtained for the hyperbolic unit ball and it makes the first result on the isoperimetric phenomenon in the Bergman ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00891 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isoperimetric inequality for nearly spherical domains in the Bergman ball Kalaj, David Complex Variables Differential Geometry We prove a quantitative isoperimetric inequality for the nearly spherical subset of the Bergman ball in $\mathbb{C}^n$. We prove the Fuglede theorem for such sets. This result is a counterpart of a similar result obtained for the hyperbolic unit ball and it makes the first result on the isoperimetric phenomenon in the Bergman ball. |
| title | Isoperimetric inequality for nearly spherical domains in the Bergman ball |
| topic | Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2502.00891 |