2017-12-282017-12-07RUYS, Wesley da Silva. Classes de hipersuperfícies Weingarten generalizadas tipo Laguerre. 2017. 77 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/8082In this work we present a classification of the Laguerre minimal surfaces with flat curvature lines. We introduce three classes of hypersurfaces that generalize the Laguerre minimal surfaces with the prescribed Gaussian normal application. The first class is associated to biharmonic applications and is related by a Legendre transformation to hypersurfaces that in the isotropic model has harmonic isotropic mean curvature. As an application, we classify the hypersurfaces of rotation and we present examples of these hypersurfaces parameterized by flat curvature lines. We obtain a characterization of the other two classes of hypersurfaces, we study the rotation ones and we present examples.application/pdfAcesso AbertoSuperfície mínima de LaguerreAplicação biharmônicaAplicação normal de Gauss prescritaLinhas de curvatura planasLaguerre minimal surfacesBiharmonic applicationsPrescribed Gaussian normal applicationFlat curvature linesMATEMATICA::GEOMETRIA E TOPOLOGIATese