Rigidity of bach-flat gradient schouten solitons

IF 0.5 4区数学 Q3 MATHEMATICS

Manuscripta Mathematica Pub Date : 2024-04-08 DOI:10.1007/s00229-024-01542-6

Valter Borges

引用次数: 0

Abstract

In this paper, we show that complete Bach-flat Schouten solitons with \(n\ge 4\) are rigid. When \(n=3\) we are able to conclude rigidity under a more general condition, namely when the Bach tensor is divergence-free. These results imply rigidity of locally conformally flat Schouten solitons for \(n\ge 3\).

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巴赫平梯度舒顿孤子的刚性

在本文中，我们证明了具有（n\ge 4\ ）的完整巴赫平面舒顿孤子是刚性的。当 \(n=3\) 时，我们能够在一个更一般的条件下得出刚性结论，即当巴赫张量无发散时。这些结果意味着 \(n\ge 3\) 的局部保角平坦舒顿孤子是刚性的。

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

Manuscripta Mathematica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.