Spectral distances on RCD spaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866912035528245248 |
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| author | Honda, Shouhei |
| author_facet | Honda, Shouhei |
| contents | We provide relationships between the spectral convergences in Bérard-Besson-Gallot sense, in Kasue-Kumura sense and the measured Gromov-Hausdorff convergence, for compact finite dimensional RCD spaces. As an independent interest, a canonical (spectral) approximation map between such spaces constructed by given spectral data is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_11136 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spectral distances on RCD spaces Honda, Shouhei Differential Geometry Metric Geometry We provide relationships between the spectral convergences in Bérard-Besson-Gallot sense, in Kasue-Kumura sense and the measured Gromov-Hausdorff convergence, for compact finite dimensional RCD spaces. As an independent interest, a canonical (spectral) approximation map between such spaces constructed by given spectral data is obtained. |
| title | Spectral distances on RCD spaces |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2303.11136 |