Dominating manifolds by radial spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911163059535872 |
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| author | Bronstein, Samuel |
| author_facet | Bronstein, Samuel |
| contents | This paper is devoted to a kind of rearrangement of functions on CD(k,n)-spaces, which satisfy a Polya-Szegö 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15621 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dominating manifolds by radial spaces Bronstein, Samuel Differential Geometry Analysis of PDEs Functional Analysis 46T12, 58J99, 49Q99 This paper is devoted to a kind of rearrangement of functions on CD(k,n)-spaces, which satisfy a Polya-Szegö 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. |
| title | Dominating manifolds by radial spaces |
| topic | Differential Geometry Analysis of PDEs Functional Analysis 46T12, 58J99, 49Q99 |
| url | https://arxiv.org/abs/2506.15621 |