%0 Journal Article
%T Rigidity theorems of Clifford Torus
%A SOUSA JR. LUIZ A. M.
%J Anais da Academia Brasileira de Ci¨ºncias
%D 2001
%I Academia Brasileira de Ci¨ºncias
%X Let M be an n-dimensional closed minimally immersed hypersurface in the unit sphere Sn + 1. Assume in addition that M has constant scalar curvature or constant Gauss-Kronecker curvature. In this note we announce that if M has (n - 1) principal curvatures with the same sign everywhere, then M is isometric to a Clifford Torus .
%K minimal hypersurfaces
%K scalar curvature
%K principal curvatures
%K Clifford Torus
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000300003