Barycenter curvature-dimension condition for extended metric measure spaces
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911011128213504 |
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| author | Han, Bang-Xian Liu, Deng-yu Zhu, Zhuo-nan |
| author_facet | Han, Bang-Xian Liu, Deng-yu Zhu, Zhuo-nan |
| contents | In this survey, we introduce a new curvature-dimension condition for extended metric measure spaces, called Barycenter-Curvature Dimension condition BCD, from the perspective of Wasserstein barycenter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06793 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Barycenter curvature-dimension condition for extended metric measure spaces Han, Bang-Xian Liu, Deng-yu Zhu, Zhuo-nan Metric Geometry Functional Analysis In this survey, we introduce a new curvature-dimension condition for extended metric measure spaces, called Barycenter-Curvature Dimension condition BCD, from the perspective of Wasserstein barycenter. |
| title | Barycenter curvature-dimension condition for extended metric measure spaces |
| topic | Metric Geometry Functional Analysis |
| url | https://arxiv.org/abs/2502.06793 |