Another proof for the rigidity of Clifford minimal hypersurfaces of [S.sup.n]

Abstract

Let M [subset] [S.sup.n] be a minimal hypersurface, and let us denote by A the shape operator of M. In this paper we give an alternative proof of the theorem that states that if [[absolute value of A].sup.2] = n - 1, then M is a Clifford minimal hypersurface.