classification of surfaces of revolution type complete Delaunay / Classificação das superfícies de revolução tipo Delaunay completas

AUTOR(ES)

Luiz Gustavo Alves de Souza

DATA DE PUBLICAÇÃO

2008

RESUMO

In this dissertation we have studied the articles The Surfaces of Delaunay, by James Eells, and Classication des Surfaces de Type Delaunay, by Ricardo Sa Earp and Eric Toubiana. Based on the rst work we have classied the surfaces of revolution of constant mean curvature known as surfaces of Delaunay. By using the second one we have looked at special surfaces of Weingarten, whose mean and gaussian curvatures satises the relation H = f(H2 K); where f is an elliptic function of class C1. We have classied the complete surfaces of revolution, that satises the Weingarten relation. They are known as surfaces of Delaunay Type

ASSUNTO(S)

superfície de caurvatura média constante delaunay superfície de - classificação weingarten - superfícies especiais função elíptica - classificação geometria diferêncial surfaces of revolution type delaunay matematica superfícies de revolução tipo delaunay

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