具有非负截面曲率的环面爱因斯坦4流形

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-04-02 DOI:10.1007/s10455-025-09990-3

Tianyue Liu

引用次数: 0

摘要

证明了四流形上具有非负截面曲率的\(T^2\) -不变爱因斯坦度量是局部对称的。

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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Toric Einstein 4-manifolds with non-negative sectional curvature

We prove that \(T^2\)-invariant Einstein metrics with non-negative sectional curvature on a four-manifold are locally symmetric.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.