梯度利玛窦收缩器的换元公式及其在梯度利玛窦收缩器线性稳定性中的应用

IF 0.7 4区数学 Q2 MATHEMATICS

Bulletin of The Iranian Mathematical Society Pub Date : 2024-07-13 DOI:10.1007/s41980-024-00890-z

Mansour Mehrmohamadi, Asadollah Razavi

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引用次数: 0

摘要

在本文中，我们发现了封闭可定向梯度利玛窦收缩器上的加权发散、加权拉普拉奇、加权 Lichnerowicz 拉普拉奇和 Lie 导数之间的一些换元公式，然后利用它们推广了曹和朱关于梯度利玛窦收缩器线性稳定性必要条件的定理。最近，他们还扩展了我们的结果。

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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Commutator Formulas for Gradient Ricci Shrinkers and Their Application to Linear Stability of Gradient Ricci Shrinkers

In this paper we have found a number of commutator formulas between the weighted divergence, the weighted Laplacian, the weighted Lichnerowicz Laplacian and the Lie derivtive on closed orientable gradient Ricci shrinkers, then using them we have generalized a Theorem of Cao and Zhu about the necessary condition for linear stability of a gradient Ricci shrinker. Recentlly they have also extended our results.

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来源期刊

Bulletin of The Iranian Mathematical Society Mathematics-General Mathematics

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.