Ricci curvature bounded below and uniform rectifiability
Metric Geometry
2023-11-17 v1 Classical Analysis and ODEs
Abstract
We prove that Ahlfors-regular RCD spaces are uniformly rectifiable. The same is shown for Ahlfors regular boundaries of non-collapsed RCD spaces. As an application we deduce a type of quantitative differentiation for Lipschitz functions on these spaces.
Cite
@article{arxiv.2311.09907,
title = {Ricci curvature bounded below and uniform rectifiability},
author = {Matthew Hyde and Michele Villa and Ivan Yuri Violo},
journal= {arXiv preprint arXiv:2311.09907},
year = {2023}
}
Comments
16 pages