Doutorado em Matemática (IME)
URI Permanente para esta coleção
Navegar
Navegando Doutorado em Matemática (IME) por Assunto "Aplicação biharmônica"
Agora exibindo 1 - 1 de 1
Resultados por página
Opções de Ordenação
Item Classes de hipersuperfícies Weingarten generalizadas tipo Laguerre(Universidade Federal de Goiás, 2017-12-07) Ruys, Wesley da Silva; Corro, Armando Mauro Vasquez; http://lattes.cnpq.br/4498595305431615; Corro, Armando Mauro Vasquez; Riveros, Carlos Maber Carrion; Adriano, Levi Rosa; Velásquez, Marco Antonio Lázaro; Pina, Romildo da SilvaIn 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.