Existence of rotationally symmetric embedded f-minimal tori
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917464460230656 |
|---|---|
| author | Peng, Peng |
| author_facet | Peng, Peng |
| contents | We generalize Angenent's shrinking tori \cite{Angenent1992} to minimal $n$-dimensional tori embedded in $\mathbb{R}^{n+1}$ equipped with the metric $$g=e^{-\frac{f(\sum^{n+1}_{i=1}x_{i}^{2})}{2n}}\sum^{n+1}_{i=1}dx^{2}_{i},$$ where $f$ is a convex function and $f'$ is bounded above and below by positive constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05022 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of rotationally symmetric embedded f-minimal tori Peng, Peng Differential Geometry primary 53C44, secondary 53C42, 34B15 We generalize Angenent's shrinking tori \cite{Angenent1992} to minimal $n$-dimensional tori embedded in $\mathbb{R}^{n+1}$ equipped with the metric $$g=e^{-\frac{f(\sum^{n+1}_{i=1}x_{i}^{2})}{2n}}\sum^{n+1}_{i=1}dx^{2}_{i},$$ where $f$ is a convex function and $f'$ is bounded above and below by positive constants. |
| title | Existence of rotationally symmetric embedded f-minimal tori |
| topic | Differential Geometry primary 53C44, secondary 53C42, 34B15 |
| url | https://arxiv.org/abs/2605.05022 |