Uniqueness in the Plateau problem near Quadratic cones
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916957370974208 |
|---|---|
| author | Nandakumaran, Vishnu Székelyhidi, Gábor |
| author_facet | Nandakumaran, Vishnu Székelyhidi, Gábor |
| contents | We consider minimal hypersurfaces inside the unit ball whose boundary on the sphere is a small perturbation of the link of a minimizing quadratic cone. We show that such minimal surfaces are uniquely determined by their boundary condition. In particular the solutions of the Plateau problem are unique for boundary conditions given by small perturbations of the link of a quadratic cone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_15503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniqueness in the Plateau problem near Quadratic cones Nandakumaran, Vishnu Székelyhidi, Gábor Differential Geometry 53A10 We consider minimal hypersurfaces inside the unit ball whose boundary on the sphere is a small perturbation of the link of a minimizing quadratic cone. We show that such minimal surfaces are uniquely determined by their boundary condition. In particular the solutions of the Plateau problem are unique for boundary conditions given by small perturbations of the link of a quadratic cone. |
| title | Uniqueness in the Plateau problem near Quadratic cones |
| topic | Differential Geometry 53A10 |
| url | https://arxiv.org/abs/2509.15503 |