Hipersuperfícies conformemente planas em R4
में बचाया:
| मुख्य लेखक: | |
|---|---|
| प्रकाशन तिथि: | 2009 |
| स्वरूप: | Master thesis |
| भाषा: | por |
| स्रोत: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tde/2905 |
सारांश: | 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. |