Systoles and diameters of hyperbolic surfaces

Florent Balacheff; Vincent Despré; Hugo Parlier

doi:10.1215/21562261-2022-0040

Systoles and diameters of hyperbolic surfaces

Florent Balacheff, Vincent Despré, Hugo Parlier

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

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Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	211 - 222
Número de páginas	12
Publicación	Kyoto Journal of Mathematics
Volumen	63
N.º	1
DOI	https://doi.org/10.1215/21562261-2022-0040
Estado	Publicada - 1 feb 2023

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https://ddd.uab.cat/record/287641

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title = "Systoles and diameters of hyperbolic surfaces",

abstract = "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.",

author = "Florent Balacheff and Vincent Despr{\'e} and Hugo Parlier",

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doi = "10.1215/21562261-2022-0040",

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AU - Parlier, Hugo

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JO - Kyoto Journal of Mathematics

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Systoles and diameters of hyperbolic surfaces

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