Monotonicity of Harmonic Functions on 3-Manifolds with an Asymptotically Flat End

IF 0.9 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2026-03-15 DOI:10.1007/s10114-026-5343-y

Pengzi Miao

引用次数: 0

Abstract

We derive monotone properties of positive harmonic functions on three dimensional manifolds with nonnegative scalar curvature, with an asymptotically flat end. Rigidity characterization of spatial Schwarzschild manifolds with two ends is also given.

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具有渐近平坦端点的3-流形上调和函数的单调性

导出了端部渐近平坦的非负标量曲率三维流形上正调和函数的单调性。给出了具有两端的空间史瓦西流形的刚性特性。

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

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.