On the Gromov-Hausdorff Limits of Compact Surfaces with Boundary
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866916308859224064 |
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| author | Dott, Tobias |
| author_facet | Dott, Tobias |
| contents | In this work we investigate Gromov-Hausdorff limits of compact surfaces carrying length metrics. More precisely, we consider the case where all surfaces have the same Euler characteristic. We give a complete description of the limit spaces and study their topological properties. Our investigation builds on the results of a previous work which treats the case of closed surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01642 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Gromov-Hausdorff Limits of Compact Surfaces with Boundary Dott, Tobias Metric Geometry Differential Geometry 51F99 (Primary) 53C20, 54F15 (Secondary) In this work we investigate Gromov-Hausdorff limits of compact surfaces carrying length metrics. More precisely, we consider the case where all surfaces have the same Euler characteristic. We give a complete description of the limit spaces and study their topological properties. Our investigation builds on the results of a previous work which treats the case of closed surfaces. |
| title | On the Gromov-Hausdorff Limits of Compact Surfaces with Boundary |
| topic | Metric Geometry Differential Geometry 51F99 (Primary) 53C20, 54F15 (Secondary) |
| url | https://arxiv.org/abs/2407.01642 |