Non-collapsed spaces with Ricci curvature bounded from below
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2017
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911016534671360 |
|---|---|
| author | De Philippis, Guido Gigli, Nicola |
| author_facet | De Philippis, Guido Gigli, Nicola |
| contents | We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prove the versions of Colding's volume convergence theorem and of Cheeger-Colding dimension gap estimate for ${\sf RCD}$ spaces.
In particular this establishes the stability of non-collapsed spaces under non-collapsed Gromov-Hausdorff convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1708_02060 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Non-collapsed spaces with Ricci curvature bounded from below De Philippis, Guido Gigli, Nicola Metric Geometry We propose a definition of non-collapsed space with Ricci curvature bounded from below and we prove the versions of Colding's volume convergence theorem and of Cheeger-Colding dimension gap estimate for ${\sf RCD}$ spaces. In particular this establishes the stability of non-collapsed spaces under non-collapsed Gromov-Hausdorff convergence. |
| title | Non-collapsed spaces with Ricci curvature bounded from below |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/1708.02060 |