Title :

Systoles and diameters of hyperbolic surfaces

Author(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]

Journal title :

Kyoto Journal of Mathematics

Publisher :

Duke University Press

Publication date :

2022

ISSN :

2156-2261

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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".Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Structures sur des surfaces

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL