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

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

1 Citació (Scopus)

1 Descàrregues (Pure)

Resum

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	Anglès
Pàgines (de-a)	211 - 222
Nombre de pàgines	12
Revista	Kyoto Journal of Mathematics
Volum	63
Número	1
DOIs	https://doi.org/10.1215/21562261-2022-0040
Estat de la publicació	Publicada - 1 de febr. 2023

Accés al document

10.1215/21562261-2022-0040

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

Altres arxius i enllaços

Invariantes locales y globales en geometria
Solanes Farres, G. (Investigador/a principal), Balacheff , F. N. (Co-Investigador/a Principal), Rubio Nuñez, R. (Col.laborador/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. (Col.laborador/a)
Ministerio de Ciencia e Innovación (MICINN), Fons Europeu de Desenvolupament Regional (FEDER)
1/01/19 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

Com citar-ho

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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",

note = "Publisher Copyright: {\textcopyright} 2023 by Kyoto University.",

year = "2023",

month = feb,

day = "1",

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

language = "English",

volume = "63",

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journal = "Kyoto Journal of Mathematics",

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TY - JOUR

T1 - Systoles and diameters of hyperbolic surfaces

AU - Balacheff, Florent

AU - Despré, Vincent

AU - Parlier, Hugo

PY - 2023/2/1

Y1 - 2023/2/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85147900240

UR - https://www.mendeley.com/catalogue/273bd0aa-ea82-3592-8b59-475ca8d06e08/

U2 - 10.1215/21562261-2022-0040

DO - 10.1215/21562261-2022-0040

M3 - Article

SN - 2156-2261

VL - 63

SP - 211

EP - 222

JO - Kyoto Journal of Mathematics

JF - Kyoto Journal of Mathematics

IS - 1

ER -

Systoles and diameters of hyperbolic surfaces

Resum

Accés al document

Altres arxius i enllaços

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Projectes

Invariantes locales y globales en geometria

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