Mestrado em Matemática (IME)
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Item Superfícies mínimas e curvatura de gauss de conóides em espaços de finsler com (α,β) - métricas(Universidade Federal de Goiás, 2014-03-28) Daza, John Elber Gómez; Souza, Marcelo Almeida de; http://lattes.cnpq.br/1343419041226215; Souza, Marcelo Almeida; Riveros, Carlos Maber Carrión; Adriano, Levi RosaWe consider(α,β)−metric F=αφ(β α), whereα is the euclidean metric,φ is a smooth positive function on a symmetric interval I=(−b0,b0) and β is a 1-form with the norm b,0 ≤bItem Superfícies Weingarten generalizada tipo harmônico no espaço hiperbólico(Universidade Federal de Goiás, 2013-09-20) Fernandes, Karoline Victor; Corro, Armando Mauro Vasquez; http://lattes.cnpq.br/4498595305431615In 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(1e2μ) = 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.