TY - JOUR
T1 - Systoles and diameters of hyperbolic surfaces
AU - Balacheff, Florent
AU - Despré, Vincent
AU - Parlier, Hugo
N1 - Publisher Copyright:
© 2023 by Kyoto University.
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 - http://dx.doi.org/10.1215/21562261-2022-0040
UR - http://www.scopus.com/inward/record.url?scp=85147900240&partnerID=8YFLogxK
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 -