Classification of closed minimal hypersurfaces with constant scalar curvature in ${\mathbb{S}}^5$

Chengchao He, Hongwei Xu, Entao Zhao

In this paper, we prove that any closed minimal hypersurface $M^4$ in the $5$-dimensional unit sphere ${\mathbb{S}}^5$ with constant scalar curvature and constant $3$-th mean curvatu…