Ricci curvature bounded below and uniform rectifiability

Year of publication

2024

Authors

Hyde, Matthew; Villa, Michele; Violo, Ivan Yuri

Abstract

We prove that Ahlfors-regular RCD spaces are uniformly rectifiable and satisfy the Bilateral Weak Geometric Lemma with Euclidean tangents–a quantitative flatness condition. 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.

Organizations and authors

University of Jyväskylä

Hyde Matthew

University of Oulu

Villa Michele

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Journal/Series

Annales Fennici mathematici

Volume

Issue

ISSN

2737-0690

Publication forum

89716

Publication forum level

Open access

Open access in the publisher’s service

Yes

Open access of publication channel

Fully open publication channel

License of the publisher’s version

CC BY NC

Self-archived

Yes

License of the self-archived publication

CC BY NC

Other information

Fields of science

Mathematics

Keywords

[object Object],[object Object],[object Object],[object Object],[object Object]

Internationality of the publisher

Domestic

Language

English

International co-publication

Yes

Co-publication with a company

DOI

10.54330/afm.153338

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes