论文标题
关于具有任意面积和摩尔斯指数的最小超曲面的存在
On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area and Morse Index
论文作者
论文摘要
我们表明，颠簸的封闭的Riemannian歧管$（M^{n+1}，g）$ $（3 \ leq n+1 \ leq 7）$接纳了一系列连接的封闭封闭的封闭嵌入式嵌入式两边的最小超曲面，其区域和morse均倾向于无限。这改善了O. chodosh和C. mantoulidis对与任意大面积的最小超曲面相连的结果。
We show that a bumpy closed Riemannian manifold $(M^{n+1}, g)$ $(3 \leq n+1 \leq 7)$ admits a sequence of connected closed embedded two-sided minimal hypersurfaces whose areas and Morse indices both tend to infinity. This improves a previous result by O. Chodosh and C. Mantoulidis on connected minimal hypersurfaces with arbitrarily large area.
