Ricci收缩器对称性的传播

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0071

T. Colding, William P. Minicozzi II

引用次数: 0

摘要

摘要我们将证明如果一个梯度收缩Ricci孤子在一个尺度上具有近似对称性，那么这种对称性将传播到更大的尺度。这是收缩原理的一个例子，它大致说明了信息向外辐射的收缩孤子。

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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Propagation of symmetries for Ricci shrinkers

Abstract We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for shrinking solitons.

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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.