2014-09-182013-09-20FERNANDES, Karoline Victor. Superfícies Weingarten generalizada tipo harmônico no espaço hiperbólico. 2013. 82 f. Tese (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2013.http://repositorio.bc.ufg.br/tede/handle/tede/3088In this work we study surfaces M in hyperbolic space whose mean curvature H and Gaussian curvature KI satisfy the relation 2(H 􀀀1)e2μ +KI(1􀀀e2μ) = 0; where μ is a harmonic function with respect to the quadratic form s = 􀀀KII + 2(H 􀀀 1)II; and I, II denote, respectively, the first and second quadratic form of M. These surfaces are called Generalized Weingarten surfaces of harmonic type (HGW-surfaces). We obtain a representation type Weierstrass for these surfaces that depend on three holomorphic functions. As an application we obtain a representation type Weierstrass for Bryant surfaces and classify all HGW-surfaces of rotation.application/pdfAcesso AbertoCongruência de esferasEquação de LiouvilleSuperfície Weingarten generalizadaCongruence of spheresLiouville equationGeneralized Weingarten surfaceMATEMATICA::GEOMETRIA E TOPOLOGIATese