2014-07-292008-06-042008-03-28SOUSA, Marcio Lemes de. Conformally flat hypersurface. 2008. 84 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2008.http://repositorio.bc.ufg.br/tede/handle/tde/1964In this work we develop the article "Conformally Flat Hypersurfaces in Euclidean 4-space II", of Suyama, where is presented the study on conformally °at hypersurfaces in the Euclidean 4-spaces R4. From a surface with constant Gaussian curvature positive or negative in either Euclidean 3-space R3 or the standard 3-sphere S3, we constructed a family of conformally °at hypersurfaces in R4, with three distinct principal curvaturesapplication/pdfAcesso Abertohipersuperfícies conformemente planas Geometria diferêncial Geometria riemannianaHipersuperfícies conformemente planaconformally flat hipersurfaceCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICADissertação