Biharmonic hypersurfaces with constant scalar curvature in space forms

Yu Fu, Min-Chun Hong

Let $M^n$ be a biharmonic hypersurface with constant scalar curvature in a space form ${\mathbb{M}}^{n+1}(c)$. We show that $M^n$ has constant mean curvature if $c>0$ and $M^n$ is min…