Hipersuperfícies conformemente planas em R4
Carregando...
Data
2009-03-13
Autores
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal de Goiás
Resumo
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.
Descrição
Citação
MOREIRA, Lucas - Hipersuperfícies Conformemente Planas em R4. 2009. 65 f.Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2009.