平衡中的曲率：韦尔函数和 $4$-manifolds 的标量曲率

IF 0.5 4区数学 Q3 MATHEMATICS

Pure and Applied Mathematics Quarterly Pub Date : 2024-01-30 DOI:10.4310/pamq.2023.v19.n6.a5

Claude LeBrun

引用次数: 0

摘要

韦尔函数的下极值在许多紧凑的 4$-manifolds 上显示出惊人的小，而这些 4$-manifolds 都允许正标量曲率度量。此外，还证明了系统比较某些近乎凯勒的 $4$-manifolds的标量曲率和自双韦尔曲率的结果。

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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Curvature in the balance: the Weyl functional and scalar curvature of $4$-manifolds

The infimum of the Weyl functional is shown to be surprisingly small on many compact $4$-manifolds that admit positive-scalar-curvature metrics. Results are also proved that systematically compare the scalar and self-dual Weyl curvatures of certain almost-Kähler $4$-manifolds.

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来源期刊

Pure and Applied Mathematics Quarterly 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality, original papers on all fields of mathematics. To facilitate fruitful interchanges between mathematicians from different regions and specialties, and to effectively disseminate new breakthroughs in mathematics, the journal welcomes well-written submissions from all significant areas of mathematics. The editors are committed to promoting the highest quality of mathematical scholarship.