Titre :

Systoles and diameters of hyperbolic surfaces

Auteur(s) :

Balacheff, Florent [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Despré, Vincent [Auteur]
Geometric Algorithms and Models Beyond the Linear and Euclidean realm [GAMBLE]
Parlier, Hugo [Auteur]
Université du Luxembourg = University of Luxembourg = Universität Luxemburg [uni.lu]

Titre de la revue :

Kyoto Journal of Mathematics

Éditeur :

Duke University Press

Date de publication :

2022

ISSN :

2156-2261

Mot(s)-clé(s) en anglais :

2020 Mathematics Subject Classification: Primary: 32G15
53C22
57K20. Secondary: 30F60 systole
systolic inequalities
diameter
geodesics
hyperbolic surfaces

Discipline(s) HAL :

Mathématiques [math]/Topologie géométrique [math.GT]

Résumé en anglais : [en]

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 ...
Lire la suite >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. asymptotic question was recently settled by Budzinski, Curien and Petri [6] where they * Supported by the FSE/AEI/MICINN grant RYC-2016-19334 "Local and global systolic geometry and topology" and the FEDER/AEI/MICIU grant PGC2018-095998-B-I00 "Local and global invariants in geometry".Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

Structures sur des surfaces

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL