classification of surfaces of revolution type complete Delaunay

by Alves de, Luiz Gustavo

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