Ricci flow and the scalar curvature rigidity of Einstein manifolds
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911236845731840 |
|---|---|
| author | Kroencke, Klaus |
| author_facet | Kroencke, Klaus |
| contents | We review recent results relating linear stability to dynamical stability and the scalar curvature rigidity of Einstein manifolds. We discuss closed and open Einstein manifolds as well as complete noncompact Einstein manifolds which are asymptotically locally Euclidean and asymptotically hyperbolic. For these classes, the relation to the positive mass theorem will also be explained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24529 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ricci flow and the scalar curvature rigidity of Einstein manifolds Kroencke, Klaus Differential Geometry 53C25, 53E20, 53C21 We review recent results relating linear stability to dynamical stability and the scalar curvature rigidity of Einstein manifolds. We discuss closed and open Einstein manifolds as well as complete noncompact Einstein manifolds which are asymptotically locally Euclidean and asymptotically hyperbolic. For these classes, the relation to the positive mass theorem will also be explained. |
| title | Ricci flow and the scalar curvature rigidity of Einstein manifolds |
| topic | Differential Geometry 53C25, 53E20, 53C21 |
| url | https://arxiv.org/abs/2510.24529 |