On Berger's Isoperimetric Problem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909640971780096 |
|---|---|
| author | Kang, Fan |
| author_facet | Kang, Fan |
| contents | Berger's isoperimetric problem asks if the flat equilateral torus is $λ_1$-maximal. In 1996, Nadirashvili first gave a positive answer. In this paper, we use El Soufi-Ilias-Ros's method and Bryant's result (arXiv:1507.01485) to give a new proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05775 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Berger's Isoperimetric Problem Kang, Fan Differential Geometry Spectral Theory Berger's isoperimetric problem asks if the flat equilateral torus is $λ_1$-maximal. In 1996, Nadirashvili first gave a positive answer. In this paper, we use El Soufi-Ilias-Ros's method and Bryant's result (arXiv:1507.01485) to give a new proof. |
| title | On Berger's Isoperimetric Problem |
| topic | Differential Geometry Spectral Theory |
| url | https://arxiv.org/abs/2506.05775 |