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Systoles and diameters of hyperbolic surfaces

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 نشر من قبل Hugo Parlier
 تاريخ النشر 2020
  مجال البحث
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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.

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