Some isolation and stability results for Einstein manifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912432463544320 |
|---|---|
| author | Branca, Letizia Kroencke, Klaus |
| author_facet | Branca, Letizia Kroencke, Klaus |
| contents | We prove new isolation and stability results for Einstein manifolds in a variety of settings. Imposing conditions on the Weyl tensor, we establish new stability criteria for compact, asymptotically hyperbolic (AH) and asymptotically locally Euclidean (ALE) manifolds and an isolation result in the latter setting. For compact Kähler and Sasaki $η$-Einstein manifolds, we provide similar results which involve the Bochner tensor and the contact Bochner tensor, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13248 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some isolation and stability results for Einstein manifolds Branca, Letizia Kroencke, Klaus Differential Geometry 53C25, 53C24, 53C20 We prove new isolation and stability results for Einstein manifolds in a variety of settings. Imposing conditions on the Weyl tensor, we establish new stability criteria for compact, asymptotically hyperbolic (AH) and asymptotically locally Euclidean (ALE) manifolds and an isolation result in the latter setting. For compact Kähler and Sasaki $η$-Einstein manifolds, we provide similar results which involve the Bochner tensor and the contact Bochner tensor, respectively. |
| title | Some isolation and stability results for Einstein manifolds |
| topic | Differential Geometry 53C25, 53C24, 53C20 |
| url | https://arxiv.org/abs/2506.13248 |