Free boundary minimal surfaces and the reflection principle
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916552236859392 |
|---|---|
| author | Choe, Jaigyoung |
| author_facet | Choe, Jaigyoung |
| contents | We show that a minimal surface meeting a sphere at a 90-degree angle can be reflected across the sphere. Using this reflection, we prove the uniqueness that every embedded free boundary minimal annulus in a ball is necessarily the critical catenoid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02700 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Free boundary minimal surfaces and the reflection principle Choe, Jaigyoung Differential Geometry 53A10, 49Q05 We show that a minimal surface meeting a sphere at a 90-degree angle can be reflected across the sphere. Using this reflection, we prove the uniqueness that every embedded free boundary minimal annulus in a ball is necessarily the critical catenoid. |
| title | Free boundary minimal surfaces and the reflection principle |
| topic | Differential Geometry 53A10, 49Q05 |
| url | https://arxiv.org/abs/2501.02700 |