$n+1$ 维欧氏空间中完备稳定极小超曲面的结构
Cao-Shen-Zhu[C-S-Z] 证明了 $n+1$ 维欧氏空间 $R^{n+1}$ ($n\geq 3$) 中的完备浸入稳定极小超曲面 $M^n$ 仅有一个端(end).
References:
[C-S-Z] Huaidong Cao, Ying Shen and Shunhui Zhu, The structure of stable minimal hypersurfaces in $\mathbb{R}^{n+1}$, Math. Res. Let. 4 (1997),637-644.
[L-W] Peter Li, Jiaping Wang, Minimal hypersurfaces with finite index, Math. Res. Lett. 9 (2002), no.1, 95-103.