$3$ 维流形上调和函数的单调性及其渐近平坦端的单调性
微分几何
2025-12-22 v1
摘要
我们推导了三维流形上正调和函数的单调性质，涉及非负标量曲率和渐近平坦端。还给出了具有两个端的空间 Schwarzschild 流形的刚性特征化。
引用
@article{arxiv.2512.17222,
title = {Monotonicity of harmonic functions on $3$-manifolds with an asymptotically flat end},
author = {Pengzi Miao},
journal= {arXiv preprint arXiv:2512.17222},
year = {2025}
}
备注
article composed in July 2025 for a special issue of Acta Mathematica Sinica, English Series