From almost smooth spaces to RCD spaces
Differential Geometry
2025-11-25 v2 Metric Geometry
Abstract
We provide various characterizations for a given almost smooth space to be an RCD space, in terms of a local volume doubling and a local Poincar\'e inequality. Applications include a characterization of Einstein -orbifolds.
Keywords
Cite
@article{arxiv.2502.20998,
title = {From almost smooth spaces to RCD spaces},
author = {Shouhei Honda and Song Sun},
journal= {arXiv preprint arXiv:2502.20998},
year = {2025}
}
Comments
47 pages