Mestrado em Matemática (IME)
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Navegando Mestrado em Matemática (IME) por Assunto "1.Weingarten Generalizada 2.Superfície de Rotação"
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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.