球的宽度与自由边界极小子流形

IF 2.1 2区数学 Q1 MATHEMATICS Advanced Nonlinear Studies Pub Date : 2022-03-18 DOI:10.1515/ans-2022-0044

Jonathan J. Zhu

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引用次数: 3

摘要

摘要我们观察到，在一个空间形式中，n-n-球的k-k维宽度是由一个赤道k-球的面积给出的。我们还讨论了空间形式球中自由边界极小子流形的面积的宽度与下界之间的关系。

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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Widths of balls and free boundary minimal submanifolds

Abstract We observe that the k k -dimensional width of an n n -ball in a space form is given by the area of an equatorial k k -ball. We also discuss the relationship between widths and lower bounds for the area of a free boundary minimal submanifold in a space form ball.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.