On a Centro-equiaffine Area-preserving Flow

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2025-04-15 DOI:10.1007/s10114-025-3082-0

Yunlong Yang, Yanlong Zhang

引用次数: 0

Abstract

This paper will deal with a nonlocal geometric flow in centro-equiaffine geometry, which keeps the enclosed area of the evolving curve and converges smoothly to an ellipse. This model can be viewed as the affine version of Gage’s area-preserving flow in Euclidean geometry.

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关于中心等仿射保面积流

本文研究了中心等仿射几何中的非局部几何流，该流保持了演化曲线的封闭区域，并平滑地收敛到一个椭圆。这个模型可以看作是欧几里得几何中盖奇的保面积流的仿射版本。

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

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.