New examples of constant mean curvature hypersurfaces in the sphere

Chuqi Huang, Guoxin Wei

In this paper, firstly, we show the existence of a compact embedded constant mean curvature (CMC) hypersurface ${\Sigma }_1$ in ${\mathbb{S}}^{2n}$ of the type $S^{n-1} \times S^{n-1} \times…