Rotational Solitons for the Curve Shortening Flow on Revolution Surfaces

IF 1.1 3区数学 Q1 MATHEMATICS Results in Mathematics Pub Date : 2024-06-16 DOI:10.1007/s00025-024-02219-y

B. Leandro, R. Novais, H. Reis

引用次数: 0

Abstract

We present a characterization for the rotational soliton for the curve shortening flow (CSF) on the revolution surfaces of $\mathbb {R}^3$. Furthermore, we describe the behavior of such curves by showing that the two ends of each open curve are asymptotic to a parallel geodesic.

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革命曲面上曲线缩短流的旋转孤子

我们提出了在$\mathbb {R}^3$的旋转面上曲线缩短流（CSF）的旋转孤子的特征。此外，我们通过证明每条开放曲线的两端都渐近于平行大地线来描述这些曲线的行为。

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

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.

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