A short note about 1-width of Lens spaces

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2022-08-24 DOI:10.1142/s1664360722500059

M. Batista, A. Lima

引用次数: 1

Abstract

In this note, we explore the nature of Lens spaces to study the first width of those spaces, more precisely, we use the existence of a sharp sweep out associated to a Clifford torus to provide a simple and pretty application of the Willmore conjecture for the computation of the [Formula: see text]-width of Lens spaces.

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关于透镜空间1宽度的简短说明

在这篇笔记中，我们探索透镜空间的本质来研究这些空间的第一宽度，更准确地说，我们使用与Clifford环面相关的锐利扫出的存在性来提供一个简单而美观的Willmore猜想的应用来计算透镜空间的宽度。

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

Bulletin of Mathematical Sciences MATHEMATICS-

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： The Bulletin of Mathematical Sciences, a peer-reviewed, open access journal, will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. The Bulletin will publish well-written expository articles (40-50 pages) of exceptional value giving the latest state of the art on a specific topic, and short articles (up to 15 pages) containing significant results of wider interest. Most of the expository articles will be invited. The Bulletin of Mathematical Sciences is launched by King Abdulaziz University, Jeddah, Saudi Arabia.