Conformally flat hypersurface

by de Sousa, Marcio Lemes

Abstract (Summary)
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
This document abstract is also available in Portuguese.
Bibliographical Information:

Advisor:Romildo da Silva Pina

School:Universidade Federal de Goiás

School Location:Brazil

Source Type:Master's Thesis

Keywords:conformally flat hipersurface


Date of Publication:03/28/2008

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