2018-06-082018-06-082012RIVEROS, 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, 2012.1015-8634e- 2234-3016http://repositorio.bc.ufg.br/handle/ri/15185Consider 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.engAcesso AbertoArtigo10.4134/BKMS.2012.49.4.685