On the local topology of non-collapsed Ricci bounded limit spaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908350591008768 |
|---|---|
| author | Sun, Song Wang, Jikang Zhang, Junsheng |
| author_facet | Sun, Song Wang, Jikang Zhang, Junsheng |
| contents | We show that for a pointed Gromov-Hausdorff limit of non-collapsed Riemannian manifolds with bounded Ricci curvature, the local $b_1$
of the regular loci vanishes. We also discuss applications and some open questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the local topology of non-collapsed Ricci bounded limit spaces Sun, Song Wang, Jikang Zhang, Junsheng Differential Geometry We show that for a pointed Gromov-Hausdorff limit of non-collapsed Riemannian manifolds with bounded Ricci curvature, the local $b_1$ of the regular loci vanishes. We also discuss applications and some open questions. |
| title | On the local topology of non-collapsed Ricci bounded limit spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.02630 |