Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1992 / Cilt: 41

On the curvates of the parallel hypersurfaces

On the curvates of the parallel hypersurfaces

Sayfa
1–1
DOI
—

Abstract

In this paper, we have shown that if (n-2)-th mean curvature Mn - 2 of a hypersurface M is zero, tlıen the sum of principal radii of curvatures of the parallel hypersurface Mr is cons- tant. Secondly, we generalize a theorem of Bonnet which is for the parallel hypersurfaces in E3, to En .