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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10.1215/21562261-2022-0040

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

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Invariantes locales y globales en geometria
Solanes Farres, G. (Principal Investigator), Balacheff , F. N. (Co-Investigador/a Principal), Rubio Nuñez, R. (Colaborador/a), Gallego Gomez, E. (Investigador/a), Heusener, M. (Investigador/a), Marin Perez, D. (Investigador/a), Meersseman, L. (Investigador/a), Nicolau Reig, M. (Investigador/a), Porti Pique, J. (Investigador/a), Reventos Tarrida, A. (Investigador/a) & Mijares Verdú, S. (Colaborador/a)
Ministerio de Ciencia e Innovación (MICINN)
1/01/19 → 30/09/22
Proyecto: Proyectos y Ayudas de Investigación

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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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AU - Despré, Vincent

AU - Parlier, Hugo

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JO - Kyoto Journal of Mathematics

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Systoles and diameters of hyperbolic surfaces

Resumen

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Otros archivos y enlaces

Huella

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Invariantes locales y globales en geometria

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