双曲面的收缩和直径

IF 0.5 4区数学 Q3 MATHEMATICS

Kyoto Journal of Mathematics Pub Date : 2020-11-06 DOI:10.1215/21562261-2022-0040

F. Balacheff, V. Despr'e, H. Parlier

引用次数: 2

摘要

本文探讨了闭双曲可定向曲面的收缩与直径之间的关系。我们证明了它们满足一定的不等式，这个不等式可以用来推断它们的比率有一个（亏格相关的）上界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Systoles and diameters of hyperbolic surfaces

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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来源期刊

Kyoto Journal of Mathematics MATHEMATICS-

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.