Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.20114 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911719447592960 |
|---|---|
| author | Fogagnolo, Mattia Gatti, Giorgio Pluda, Alessandra |
| author_facet | Fogagnolo, Mattia Gatti, Giorgio Pluda, Alessandra |
| contents | We propose a notion of scalar curvature lower bounds in a three-dimensional Riemannian manifold endowed with a $C^0$ metric based on the monotonicity of the Hawking mass along the inverse mean curvature flow. We present a stability theorem for continuous Riemannian metrics with nonnegative scalar curvature in such IMCF sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20114 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow Fogagnolo, Mattia Gatti, Giorgio Pluda, Alessandra Differential Geometry We propose a notion of scalar curvature lower bounds in a three-dimensional Riemannian manifold endowed with a $C^0$ metric based on the monotonicity of the Hawking mass along the inverse mean curvature flow. We present a stability theorem for continuous Riemannian metrics with nonnegative scalar curvature in such IMCF sense. |
| title | Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2605.20114 |