On the Second Pinching Theorem for Willmore Hypersurfaces in a Sphere

In this paper, we consider n-dimensional compact Willmore hypersurface in a unit sphere. We prove a pinching theorem of \(\rho ^2\) ${\rho }^2$ , which is defined as \(\rho ^2=S-nH^2\) ${\rho }^2=S-n{H}^2$ , for n-dimensional compact Willmore hypersurface with constant mean curvature and constant scalar curvature, where H denotes the mean curvature and S the squared norm of the second fundamental form of this hypersurface.