Calculus of Variations and Geometric Measure Theory

M. Hyde - M. Villa - I. Y. Violo

Ricci curvature bounded below and uniform rectifiability

created by violo on 20 Nov 2023



Inserted: 20 nov 2023

Year: 2023

ArXiv: 2311.09907 PDF


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.