Embedded hypersurfaces with constant $m^{\text{th}}$ mean curvature in a unit sphere

Qing-Ming Cheng, Haizhong Li, Guoxin Wei

In this paper, we study $n$-dimensional hypersurfaces with constant $m^{\text{th}}$ mean curvature in a unit sphere $S^{n+1}(1)$ and construct many compact nontrivial embedded hype…