Triangulating surfaces quasi-isometrically
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909051343863808 |
|---|---|
| author | Georgakopoulos, Agelos Vigolo, Federico |
| author_facet | Georgakopoulos, Agelos Vigolo, Federico |
| contents | We prove that if a complete Riemannian surface $(Σ,d_Σ)$ is quasi-isometric to some bounded degree graph $G$, then $Σ$ admits a triangulation whose 1-skeleton is quasi-isometric to it when equipped with the simplicial metric. We study several variants of the problem, and identify the right condition making it an if and only if statement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21189 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Triangulating surfaces quasi-isometrically Georgakopoulos, Agelos Vigolo, Federico Metric Geometry 51F30, 57M15, 57Q15, 57R05, 05C10 We prove that if a complete Riemannian surface $(Σ,d_Σ)$ is quasi-isometric to some bounded degree graph $G$, then $Σ$ admits a triangulation whose 1-skeleton is quasi-isometric to it when equipped with the simplicial metric. We study several variants of the problem, and identify the right condition making it an if and only if statement. |
| title | Triangulating surfaces quasi-isometrically |
| topic | Metric Geometry 51F30, 57M15, 57Q15, 57R05, 05C10 |
| url | https://arxiv.org/abs/2603.21189 |