An upper bound for the number of critical points of the systole function on the moduli space of hyperbolic surfaces

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2024-10-17 DOI:10.1016/j.topol.2024.109091

Yue Gao

引用次数: 0

Abstract

We obtain an upper bound for the number of critical points of the systole function on

M_{g}

. Besides, we obtain an upper bound for the number of those critical points whose systole is smaller than a constant.

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双曲面模空间上收缩函数临界点数量的上界

我们得到了 Mg 上收缩函数临界点数量的上限。此外，我们还得到了收缩率小于常数的临界点的数量上限。

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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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.