2014-07-292011-04-202011-03-01VELASCO, Lívio José. Generalized Weingarten Surfaces of Rotation in 3- Euclidiano Space. 2011. 58 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2011.http://repositorio.bc.ufg.br/tede/handle/tde/1933In 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.application/pdfAcesso AbertoSuperfícies Weingarten GeneralizadasSuperfícies de RotaçãoGeneralized Weingarten SurfacesRotation Surfaces1.Weingarten Generalizada 2.Superfície de RotaçãoCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIADissertação