Locally homogeneous RCD spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910678016589824 |
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| author | Honda, Shouhei Nepechiy, Artem |
| author_facet | Honda, Shouhei Nepechiy, Artem |
| contents | The goal of this note is to demonstrate how existing results can be adapted to establish the following result: A locally metric measure homogeneous $\mathrm{RCD}(K,N)$ space is isometric to, after multiplying a positive constant to the reference measure, a smooth Riemannian manifold with the Riemannian volume measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Locally homogeneous RCD spaces Honda, Shouhei Nepechiy, Artem Differential Geometry Metric Geometry The goal of this note is to demonstrate how existing results can be adapted to establish the following result: A locally metric measure homogeneous $\mathrm{RCD}(K,N)$ space is isometric to, after multiplying a positive constant to the reference measure, a smooth Riemannian manifold with the Riemannian volume measure. |
| title | Locally homogeneous RCD spaces |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2404.02390 |