English

Margulis Lemma on $\text{RCD}(K,N)$ spaces

Differential Geometry 2025-11-12 v1 Metric Geometry

Abstract

We extend the Margulis Lemma for manifolds with lower Ricci curvature bounds to the RCD(K,N)\text{RCD}(K,N) setting. As one of our main tools, we obtain improved regularity estimates for Regular Langrangian flows on these spaces.

Keywords

Cite

@article{arxiv.2308.15215,
  title  = {Margulis Lemma on $\text{RCD}(K,N)$ spaces},
  author = {Qin Deng and Jaime Santos-Rodríguez and Sergio Zamora and Xinrui Zhao},
  journal= {arXiv preprint arXiv:2308.15215},
  year   = {2025}
}

Comments

51 pages

R2 v1 2026-06-28T12:07:14.636Z