Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866909989597085696 |
|---|---|
| author | Wu, Yujie |
| author_facet | Wu, Yujie |
| contents | We show that the combination of nonnegative 2-intermediate Ricci Curvature and strict positivity of scalar curvature forces rigidity of two-sided free boundary stable minimal hypersurface in a 4-manifold with bounded geometry and weakly convex boundary. This extends the method of Chodosh-Li-Stryker to free boundary minimal hypersurfaces in ambient manifolds with boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08103 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds Wu, Yujie Differential Geometry We show that the combination of nonnegative 2-intermediate Ricci Curvature and strict positivity of scalar curvature forces rigidity of two-sided free boundary stable minimal hypersurface in a 4-manifold with bounded geometry and weakly convex boundary. This extends the method of Chodosh-Li-Stryker to free boundary minimal hypersurfaces in ambient manifolds with boundary. |
| title | Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2308.08103 |