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Item Superfícies de Bianchi com ângulo de Chebyshev constante(Universidade Federal de Goiás, 2010-10-01) BEZERRA, Adriano Cavalcante; CORRO, Armando Mauro Vasquez; http://lattes.cnpq.br/4498595305431615The Bianchi surfaces belong to a class of surfaces with negative Gaussian curvature, discovered by generalization of Backlund transformation for surfaces with constant negative Gaussian curvature [3]. Today these areas are studied from the viewpoint of the theory of integrable systems. In this paper we study Bianchi surfaces parameterized by a Generalized Chebyshev net and show that such a surfaces with Chebyshev constant angle is a piece of a right helicoid, see [1].Item Superfícies Regradas de Bonnet(Universidade Federal de Goiás, 2011-03-31) LEITE, Elaine Altino Freire; CORRO, Armando Mauro Vasquez; http://lattes.cnpq.br/4498595305431615In this work we show that a Surface is a Bonnet Surface if, and only if A-net, presenting in Soyuçok s work [6]. Using this result we study the Bonnet Ruled Surfaces, based in Kanbay s work [1].Item Superfícies Mínimas em H3 e H2 x R(Universidade Federal de Goiás, 2008-02-20) RUYS, Wesley da Silva; CORRO, Armando Mauro Vasquez; http://lattes.cnpq.br/4498595305431615In this work we study some results from the article of Mercuri, F., Piu, P., Montaldo, S; Weierstrass Representation Formula for Minimal Surfaces in H3 and H2 x R. Therefore, we do a study of the minimal surfaces simply connected in three-dimensional Riemaniann manifold. Furthermore, searching for to determine the necessary conditions to find minimal surfaces in these spaces. Moreover, to give examples of the surfaces in the three-dimensional Heisenberg group and in the product of the hyperbolic with the real line.Item Superfícies de Weingarten Generalizadas do Tipo Rotacional no 3-Espaço Euclidiano(Universidade Federal de Goiás, 2011-03-01) VELASCO, Lívio José; CORRO, Armando Mauro Vasquez; http://lattes.cnpq.br/4498595305431615In this work, we study the surfaces of rotation S which are Weingarten general, in which the Gaussian curvature K and mean curvature H of this surface satisfies the following relationship (w2 r2)K +2wH +1 = 0, where w and r are harmonic functions with respect to the quadratic form s = II +wIII and II, III are the surface s second and third quadratic form. Inspired by the work of Schief [15], we obtain a characterization of these surfaces determined by functions satisfying a system of ordinary differential equations, as application we prove that with an additional condition these surfaces are spheres.