Dominating manifolds by radial spaces
Differential Geometry
2025-09-22 v2 Analysis of PDEs
Functional Analysis
Abstract
This paper is devoted to a kind of rearrangement of functions on CD(k,n)-spaces, which satisfy a Polya-Szeg\"o type inequality. We use this rearrangement to prove the validity of a Moser-Trudinger type inequality on a wide class of metric measure spaces satisfying a CD(k,n)-curvature-dimension inequality. As a consequence, we give a characterization, among manifolds with lower bounded Ricci curvature, of those admitting a Moser-Trudinger type inequality.
Keywords
Cite
@article{arxiv.2506.15621,
title = {Dominating manifolds by radial spaces},
author = {Samuel Bronstein},
journal= {arXiv preprint arXiv:2506.15621},
year = {2025}
}