Relations between the scalar curvatures of submanifolds with constant curvature

Authors : Abdullah ÖZEL

Pages : 9-17

Doi:10.1501/Commua1_0000000482

View : 17 | Download : 8

Publication Date : 1993-01-01

Article Type : Research Paper

Abstract :In this paper, the relations between the scalar curvatures of n-dimensional submanifold insert ignore into journalissuearticles values(hypersurface); N, with zero curvature immersed in an insert ignore into journalissuearticles values(n-f-l); -dimensional submanifold N with zero curvature in Em insert ignore into journalissuearticles values(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.
Keywords : Relations between, Scalar curvatures, Constant curvature