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Hipersuperfacies Conformemente Planas no Espaço Euclidiano R4 / Conformally flat hypersurfaceSOUSA, Marcio Lemes de 28 March 2008 (has links)
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Previous issue date: 2008-03-28 / In 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 curvatures / Neste trabalho desenvolvemos o artigo "Conformally Flat Hypersurfaces in Euclidean 4- space II", de Suyama, onde é apresentado um estudo sobre hipersuperfícies conformemente planas no espa»co Euclidiano R4. A partir de superfícies em R3 ou S3, com curvatura gaussiana constante negativa ou positiva, construímos uma família de hipersuperfácies
conformemente planas em R4, com três curvaturas principais distintas
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