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星形曲线的格雷森型定理

IF 0.7 2区 数学 Q2 MATHEMATICS
Collectanea Mathematica Pub Date : 2023-12-11 DOI:10.1007/s13348-023-00425-5
Jianbo Fang, Yunlong Yang, Fangwei Chen
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引用次数: 0

摘要

本文主要研究星形曲线相对于原点的保长流。在保长流下，演化曲线保持星形性并平滑收敛于圆，这可以看作是该流下星形曲线的格雷森定理。
本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Grayson-type theorem for star-shaped curves

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A Grayson-type theorem for star-shaped curves

This paper focuses on a length-preserving flow for star-shaped curves with respect to the origin. Under the length-preserving flow, the evolving curve keeps star-shapedness and converges smoothly to a circle, which can be regarded as a Grayson-type theorem for star-shaped curves under this flow.

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来源期刊
Collectanea Mathematica
Collectanea Mathematica 数学-数学
CiteScore
2.70
自引率
9.10%
发文量
36
审稿时长
>12 weeks
期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.
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