Systoles and diameters of hyperbolic surfaces
نویسندگان
چکیده
In this article we explore the relationship between systole and diameter of closed hyperbolic orientable surfaces. We show that they satisfy a certain inequality, which can be used to deduce their ratio has (genus dependent) upper bound.
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2023
ISSN: ['2156-2261', '2154-3321']
DOI: https://doi.org/10.1215/21562261-2022-0040