通过能量比较的三维流形中常平均曲率曲面的指标估计
微分几何
2026-02-02 v2 偏微分方程分析
摘要
我们证明了可定向三维流形中闭常平均曲率曲面的Morse指标关于亏格、分支点数量和Willmore型能量的线性上界。
引用
@article{arxiv.2411.02932,
title = {Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison},
author = {Luca Seemungal and Ben Sharp},
journal= {arXiv preprint arXiv:2411.02932},
year = {2026}
}
备注
19 pages. Final version with minor amendments and additions