Classes of hypersurfaces with vanishing Laplace invariants
| dc.creator | Riveros, Carlos Maber Carrión | |
| dc.creator | Corro, Armando Mauro Vasquez | |
| dc.date.accessioned | 2018-06-08T14:56:30Z | |
| dc.date.available | 2018-06-08T14:56:30Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Consider a hypersurface M n in R n+1 with n distinct princi- pal curvatures, parametrized by lines of curvature with vanishing Laplace invariants. (1) If the lines of curvature are planar, then there are no such hyper- surfaces for n ≥ 4, and for n = 3, they are, up to Möbius transformations, Dupin hypersurfaces with constant Möbius curvature. (2) If the principal curvatures are given by a sum of functions of sepa- rated variables, there are no such hypersurfaces for n ≥ 4, and for n = 3, they are, up to Möbius transformations, Dupin hypersurfaces with con- stant Möbius curvature. | pt_BR |
| dc.identifier.citation | RIVEROS, Carlos M. C.; CORRO, Armando M. V. Classes of hypersurfaces with vanishing Laplace invariants. Bulletin of the Korean Mathematical Society, Seoul, v. 49, p. 685-692, 2012. | pt_BR |
| dc.identifier.doi | 10.4134/BKMS.2012.49.4.685 | |
| dc.identifier.issn | 1015-8634 | |
| dc.identifier.issn | e- 2234-3016 | |
| dc.identifier.uri | http://repositorio.bc.ufg.br/handle/ri/15185 | |
| dc.language.iso | eng | pt_BR |
| dc.publisher.country | Outros | pt_BR |
| dc.publisher.department | Instituto de Matemática e Estatística - IME (RG) | pt_BR |
| dc.rights | Acesso Aberto | pt_BR |
| dc.title | Classes of hypersurfaces with vanishing Laplace invariants | pt_BR |
| dc.type | Artigo | pt_BR |
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