Hypersurfaces with constant mean curvature and two principal curvatures in n+1
In this paper we consider compact oriented hypersurfaces M with constant mean curvature and two principal curvatures immersed in the Euclidean sphere.In the minimal case, challenge gravel grinder Perdomo (Perdomo 2004) andWang (Wang 2003) obtained an integral inequality involving the square of the norm of the second fundamental form of M, where equ