Integral formulas for hypersurfaces in cones and related questions
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917988842602496 |
|---|---|
| author | Pacella, Filomena Tralli, Giulio |
| author_facet | Pacella, Filomena Tralli, Giulio |
| contents | We discuss the validity of Minkowski integral identities for hypersurfaces inside a cone, intersecting the boundary of the cone orthogonally. In doing so we correct a formula provided in [3]. Then we study rigidity results for constant mean curvature graphs proving the precise statement of a result given in [9] and [10]. Finally we provide an integral estimate for stable constant mean curvature hypersurfaces in cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13137 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integral formulas for hypersurfaces in cones and related questions Pacella, Filomena Tralli, Giulio Analysis of PDEs We discuss the validity of Minkowski integral identities for hypersurfaces inside a cone, intersecting the boundary of the cone orthogonally. In doing so we correct a formula provided in [3]. Then we study rigidity results for constant mean curvature graphs proving the precise statement of a result given in [9] and [10]. Finally we provide an integral estimate for stable constant mean curvature hypersurfaces in cones. |
| title | Integral formulas for hypersurfaces in cones and related questions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.13137 |