Systoles and diameters of hyperbolic surfaces
In this article we explore the relationship between the systole and the diameter of closed hyperbolic orientable surfaces. We show that they satisfy a certain inequality, which can be used to deduce that their ratio has a (genus-dependent) upper bound.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:287641 |
| Acceso en línea: | https://ddd.uab.cat/record/287641 https://dx.doi.org/urn:doi:10.1215/21562261-2022-0040 |
| Access Level: | acceso abierto |
| Palabra clave: | Diameter Geodesics Hyperbolic surfaces Systole Systolic inequalities |
| Sumario: | In this article we explore the relationship between the systole and the diameter of closed hyperbolic orientable surfaces. We show that they satisfy a certain inequality, which can be used to deduce that their ratio has a (genus-dependent) upper bound. |
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