Embedded constant $m^{\text{th}}$ mean curvature hypersurfaces on spheres

Guoxin Wei, Guohua Wen

In this paper, we study $n$-dimensional hypersurfaces with constant $m^{\text{th}}$ mean curvature $H_m$ in a unit sphere $S^{n+1}(1)$ and prove that if the $m^{\text{th}}$ mean cu…