Isometric rigidity of Wasserstein tori and spheres
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910567971684352 |
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| author | Gehér, György Pál Titkos, Tamás Virosztek, Dániel |
| author_facet | Gehér, György Pál Titkos, Tamás Virosztek, Dániel |
| contents | We prove isometric rigidity for $p$-Wasserstein spaces over finite-dimensional tori and spheres for all $p$. We present a unified approach to proving rigidity that relies on the robust method of recovering measures from their Wasserstein potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_04054 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Isometric rigidity of Wasserstein tori and spheres Gehér, György Pál Titkos, Tamás Virosztek, Dániel Metric Geometry Mathematical Physics Functional Analysis Probability Primary: 54E40 Secondary: 46E27, 54E70 We prove isometric rigidity for $p$-Wasserstein spaces over finite-dimensional tori and spheres for all $p$. We present a unified approach to proving rigidity that relies on the robust method of recovering measures from their Wasserstein potentials. |
| title | Isometric rigidity of Wasserstein tori and spheres |
| topic | Metric Geometry Mathematical Physics Functional Analysis Probability Primary: 54E40 Secondary: 46E27, 54E70 |
| url | https://arxiv.org/abs/2203.04054 |