On complete hypersurfaces with constant scalar curvature $n(n-1)$ in the unit sphere

Jinchuan Bai, Yong Luo

Let $M^n$ be an $n$-dimensional complete and locally conformally flat hypersurface in the unit sphere ${\mathbb{S}}^{n+1}$ with constant scalar curvature $n(n-1)$. We show that if th…