Remarks on Cotton solitons

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-07-09 DOI:10.1007/s11005-024-01840-w

Rahul Poddar

引用次数: 0

Abstract

In this note, we show that the potential vector field of a Cotton soliton (M, g, V) is an infinitesimal harmonic transformation, and we use it to give another proof of the triviality of compact Cotton solitons. Moreover, we extend this triviality result to the complete case by imposing certain regularity conditions on the potential vector field V.

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关于棉孤子的评论

在本论文中，我们证明了棉花孤子（M, g, V）的势向量场是一个无穷小的谐波变换，并利用它给出了紧凑棉花孤子三性的另一个证明。此外，我们还通过对潜在矢量场 V 施加某些正则性条件，将这一三性结果扩展到完全情况。

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

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.