Open $3$-manifolds with non negative Ricci curvature in a spectral or integral sense
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911479094050816 |
|---|---|
| author | Carron, Gilles |
| author_facet | Carron, Gilles |
| contents | We show that if a complete Riemannian $3-$manifold has $L^{\frac 32}-$ integrable Ricci curvature, satisfies a Sobolev inequality and has a non negative Ricci curvature in a spectral sense, then it is diffeomorphic to $\R^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01887 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Open $3$-manifolds with non negative Ricci curvature in a spectral or integral sense Carron, Gilles Differential Geometry We show that if a complete Riemannian $3-$manifold has $L^{\frac 32}-$ integrable Ricci curvature, satisfies a Sobolev inequality and has a non negative Ricci curvature in a spectral sense, then it is diffeomorphic to $\R^3$. |
| title | Open $3$-manifolds with non negative Ricci curvature in a spectral or integral sense |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2603.01887 |