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.
Citation
Florent Balacheff. Vincent Despré. Hugo Parlier. "Systoles and diameters of hyperbolic surfaces." Kyoto J. Math. 63 (1) 211 - 222, February 2023. https://doi.org/10.1215/21562261-2022-0040
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