Hipersuperfícies conformemente planas em R4

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Bibliográfalaš dieđut
Váldodahkki:	Moreira, Lucas
Almmustuhttinbeaivi:	2009
Materiálatiipa:	Master thesis
Giella:	por
Gáldu:	Repositório Institucional da UFG
Download full:	http://repositorio.bc.ufg.br/tede/handle/tde/2905
Čoahkkáigeassu:	language="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2.

Govvádus
Čoahkkáigeassu:	language="eng">The present work has been based by the [16] and [17] articles, from Oscar J. Garay. In that articles he studied the conformally flat hypersurfaces in the R4 space, wich have the mean curvature vector H like an eigenvector of their Laplacian Operator, i.e., DH = lH, l 2R .We showed that these hypersurfaces are isoparametrics and, consequently, they are either a minimal hypersurface, or an around 3-sphere S3(r) , or a cylinder over a 2-sphere S2(r) R, or a cylinder over a circle S(r) R2.

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