On the equivalence of distributional and synthetic Ricci curvature lower bounds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910917009080320 |
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| author | Mondino, Andrea Ryborz, Vanessa |
| author_facet | Mondino, Andrea Ryborz, Vanessa |
| contents | The goal of the paper is to prove the equivalence of distributional and synthetic Ricci curvature lower bounds for a weighted Riemannian manifold with continuous metric tensor having Christoffel symbols in $L^2_{\rm loc}$, and with weight in $C^0\cap W^{1,2}_{\rm loc}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06486 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the equivalence of distributional and synthetic Ricci curvature lower bounds Mondino, Andrea Ryborz, Vanessa Differential Geometry Metric Geometry The goal of the paper is to prove the equivalence of distributional and synthetic Ricci curvature lower bounds for a weighted Riemannian manifold with continuous metric tensor having Christoffel symbols in $L^2_{\rm loc}$, and with weight in $C^0\cap W^{1,2}_{\rm loc}$. |
| title | On the equivalence of distributional and synthetic Ricci curvature lower bounds |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2402.06486 |