Locally homogeneous RCD spaces
Differential Geometry
2024-10-31 v2 Metric Geometry
Abstract
The goal of this note is to demonstrate how existing results can be adapted to establish the following result: A locally metric measure homogeneous space is isometric to, after multiplying a positive constant to the reference measure, a smooth Riemannian manifold with the Riemannian volume measure.
Keywords
Cite
@article{arxiv.2404.02390,
title = {Locally homogeneous RCD spaces},
author = {Shouhei Honda and Artem Nepechiy},
journal= {arXiv preprint arXiv:2404.02390},
year = {2024}
}
Comments
23 pages, to appear in Springer Tohoku Series in Mathematics