Circle packings and hyperbolic surfaces of finite type
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912479738593280 |
|---|---|
| author | Ba, Te Hu, Guangming Sun, Yu |
| author_facet | Ba, Te Hu, Guangming Sun, Yu |
| contents | This paper constructs hyperbolic polyhedral metrics via circle packings. We introduce the curvature of circles as a parameter to include all three types of constant curvature curves in the hyperbolic geometry. This provides a unified approach to producing polyhedral metrics for surfaces of broader topological types. The combinatorial total geodesic curvature serves as an effective tool for establishing the existence and uniqueness of the packing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_13572 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Circle packings and hyperbolic surfaces of finite type Ba, Te Hu, Guangming Sun, Yu Geometric Topology Differential Geometry 57Q15, 52C25, 52C26 This paper constructs hyperbolic polyhedral metrics via circle packings. We introduce the curvature of circles as a parameter to include all three types of constant curvature curves in the hyperbolic geometry. This provides a unified approach to producing polyhedral metrics for surfaces of broader topological types. The combinatorial total geodesic curvature serves as an effective tool for establishing the existence and uniqueness of the packing. |
| title | Circle packings and hyperbolic surfaces of finite type |
| topic | Geometric Topology Differential Geometry 57Q15, 52C25, 52C26 |
| url | https://arxiv.org/abs/2307.13572 |