|
|||||
 |
|
|
|
|
|
|
Margulis lemma on
$\mathrm{RCD}(K,N)$ spaces
Qin Deng, Jaime Santos-Rodríguez, Sergio Zamora and Xinrui Zhao |
|
Vol. 18 (2025), No. 10, 2481–2536
|
 |
Abstract |
|
We extend the Margulis lemma for manifolds with lower Ricci curvature bounds to the setting. As one of our main tools, we obtain improved regularity estimates for regular Lagrangian flows on these spaces. |
Keywords
regular Lagrangian flows, Margulis lemma, RCD spaces
|
Mathematical Subject Classification
Primary: 53C21, 53C23
|
Milestones
Received: 16 March 2024
Revised: 26 September 2024
Accepted: 13 November 2024
Published: 4 November 2025
|
Authors |
| Qin Deng | |
| Massachusetts Institute of
Technology Cambridge, MA United States |
|
| Jaime Santos-Rodríguez | |
| Universidad Politécnica de
Madrid Madrid Spain |
Durham University Durham United Kingdom |
| Sergio Zamora | |
| Max Planck Institute for
Mathematics Bonn Germany |
|
| Xinrui Zhao | |
| Massachusetts Institute of
Technology Cambridge, MA United States |
|
| © 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
