Relations between the scalar curvatures of submanifolds with constant curvature

Abstract

In this paper, the relations between the scalar curvatures of n-dimensional submanifold (hypersurface) N, with zero curvature immersed in an (n-f-l) -dimensional submanifold N with zero curvature in Em (m >n-pl), have been investigated and some results have been ob- tained in terms of scalar, Gaussian and meaan curvtures of the submanifolds N and N.