具有 Ricci 曲率下界的临界 4 维流形的 Harnack 不等式
微分几何
2013-09-16 v3
摘要
我们研究具有 Ricci 曲率下界但无先验分析约束（如 Sobolev 常数约束）的临界 Riemann 4 维流形。我们推导了局部曲率半径的椭圆型估计，而该半径本身控制截面曲率。主要方法是构造退化度量的爆破 (blow-ups)，随后应用先前工作中的几何/拓扑平凡性结果。
引用
@article{arxiv.1309.0863,
title = {Harnack Inequalities for Critical 4-manifolds with a Ricci Curvature Bound},
author = {Brian Weber},
journal= {arXiv preprint arXiv:1309.0863},
year = {2013}
}
备注
The third uploaded version corrects some potentially confusing typographical errors. No material adjustments were made