The rigidity of Clifford torus S-1(root 1/n)xS(n-1)(root n-1/n)

In this paper, we prove that if M is an n-dimensional closed minimal hypersurface with two distinct principal curvatures of a unit sphere S-n+1(1), then S = n and M is a Clifford torus if n less than or equal to S less than or equal to n + [2n(2)(n + 4)/3(n(n + 4) + 4)], where S is the squared norm of the second fundamental form of M.