Conformally flat hypersurface

by de Sousa, Marcio Lemes

In this work we develop the article "Conformally Flat Hypersurfaces in Euclidean 4-spaceII", of Suyama, where is presented the study on conformally °at hypersurfaces in theEuclidean 4-spaces R4. From a surface with constant Gaussian curvature positive ornegative in either Euclidean 3-space R3 or the standard 3-sphere S3, we constructed afamily of conformally °at hypersurfaces in R4, with three distinct principal curvatures