On the Normal Curvatures of Hypersurfaces Under the Conformal Maps

Abstract

In this paper, the normal curvatures of hypersurfaces are investigated under conformal, homothety and isometry maps. At first, an equation is obtained between normal curvatures of hypersurfaces, if conformal map which defined between hypersurfaces in E-n is a homothety. In the last section, it is shown that first and second fundamental forms of hypersurfaces are invariant if conformal map is an isometry.