An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929556764491776 |
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| author | Byakuno, Takuma |
| author_facet | Byakuno, Takuma |
| contents | We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold into the Gromov-Hausdorff space by a bilipschitz map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18442 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space Byakuno, Takuma Metric Geometry General Topology 30L05, 54E35, 53C23 We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold into the Gromov-Hausdorff space by a bilipschitz map. |
| title | An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space |
| topic | Metric Geometry General Topology 30L05, 54E35, 53C23 |
| url | https://arxiv.org/abs/2410.18442 |