Dominating manifolds by radial spaces

Samuel Bronstein

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arXiv · 2506.15621

Dominating manifolds by radial spaces

Samuel Bronstein

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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.

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BibTeX RIS

Samuel Bronstein. 2025-06-18. Dominating manifolds by radial spaces. https://arxiv.org/abs/2506.15621

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