A rigidity theorem on closed vacuum static spaces

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-07-22 DOI:10.1016/j.jmaa.2025.129909

Shanlin Guan

引用次数: 0

Abstract

For an n-dimensional closed vacuum static space, we prove that it must be of Einstein if the lower bound of sectional curvature satisfies a specific condition. This extends the result of Huang, Guo and Ma [9] to arbitrary dimensions.

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封闭真空静态空间上的刚性定理

对于一个n维封闭真空静态空间，我们证明了如果截面曲率下界满足一个特定的条件，它一定是爱因斯坦空间。这将Huang， Guo和Ma[9]的结果扩展到任意维度。

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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.