Margulis Lemma on $\text{RCD}(K,N)$ spaces
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909896918695936 |
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| author | Deng, Qin Santos-Rodríguez, Jaime Zamora, Sergio Zhao, Xinrui |
| author_facet | Deng, Qin Santos-Rodríguez, Jaime Zamora, Sergio Zhao, Xinrui |
| contents | We extend the Margulis Lemma for manifolds with lower Ricci curvature bounds to the $\text{RCD}(K,N)$ setting. As one of our main tools, we obtain improved regularity estimates for Regular Langrangian flows on these spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15215 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Margulis Lemma on $\text{RCD}(K,N)$ spaces Deng, Qin Santos-Rodríguez, Jaime Zamora, Sergio Zhao, Xinrui Differential Geometry Metric Geometry We extend the Margulis Lemma for manifolds with lower Ricci curvature bounds to the $\text{RCD}(K,N)$ setting. As one of our main tools, we obtain improved regularity estimates for Regular Langrangian flows on these spaces. |
| title | Margulis Lemma on $\text{RCD}(K,N)$ spaces |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2308.15215 |