2014-07-292009-05-122008-02-29SOUTO, Leonardo Antônio. Ribaucour transformations for hypersurfaces in space forms. 2008. 94 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2008.http://repositorio.bc.ufg.br/tede/handle/tde/1929The theory of Ribaucour transformations for hypersurfaces in space forms is presented. A method to obtaining linear Weingarten surfaces in a three-dimensional space form is showed. By applying the theory to the cylinder, we obtain a two-parameter family of linear Weingarten surfaces. A new one-parameter family of complete constant mean curvature surfaces in the unit sphere, locally associated to the flat torus, is obtained. We construct new families of constant mean curvature 1 (cmc-1) surfaces which are locally associated to Enneper cousin.application/pdfAcesso Abertotransformações de Ribaucourformas espaciaissuperfícies mínimasRibaucour transformationsminimal surfacesspace formsCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIADissertação