An inverse problem in optimal transport on closed Riemannian manifolds
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915626645192704 |
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| author | Zhai, Jian Zhang, Kelvin Shuangjian |
| author_facet | Zhai, Jian Zhang, Kelvin Shuangjian |
| contents | We consider the problem of recovering the Riemannian metric on a compact closed manifold from the optimal transport maps when the underlying cost function is the squared Riemann distance. We show that the metric can be uniquely determined up to a multiplicative constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15037 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An inverse problem in optimal transport on closed Riemannian manifolds Zhai, Jian Zhang, Kelvin Shuangjian Analysis of PDEs We consider the problem of recovering the Riemannian metric on a compact closed manifold from the optimal transport maps when the underlying cost function is the squared Riemann distance. We show that the metric can be uniquely determined up to a multiplicative constant. |
| title | An inverse problem in optimal transport on closed Riemannian manifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.15037 |