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	Provedor de dados 42 (3) Autor Fujimori,Shoichi (1) HINOJOSA,PEDRO A. (1) Shi,Shuguo (1) Palavra-chave Hyperbolic space (3) CMC 1 cousins (1) Conformal normal Gauss map (1) Constant mean curvature (1) Elliptic partial differential equations (1) Geodesic and horizontal graphs (1) Minimal surfaces (1) Ruled surface (1) Translational surface (1) Mais... Tipo do documento Info:eu-repo/semantics/article (3) Ano 2006 (1) 2003 (1) 2002 (1) País Brazil (3) Idioma Inglês (3)		Ordenar por:  Relevância Autor Título Ano Registros recuperados: 3 Primeira ... 1 ... Última Graphs with constant mean curvature in the 3-hyperbolic space 42 HINOJOSA,PEDRO A.. In this work we will deal with disc type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar domains. From the various types of graphs that could be defined in the hyperbolic space we consider in particular the horizontal and the geodesic graphs. We proved that if the mean curvature is constant, then such graphs are equivalent in the following sense: suppose that M is a constant mean curvature surface in the 3-hyperbolic space such that M is a geodesic graph of a function rho that is zero at the boundary, then there exist a smooth function f that also vanishes at the boundary, such that M is a horizontal graph of f. Moreover, the reciprocal is also true. Tipo: Info:eu-repo/semantics/article Palavras-chave: Hyperbolic space; Geodesic and horizontal graphs; Constant mean curvature; Elliptic partial differential equations. Ano: 2002 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000300001 New examples of surfaces in H³ with conformal normal Gauss map 42 Shi,Shuguo. In this paper we give some examples of surfaces in H³ with conformal normal Gauss map with respect to the second conformal structure and prove some global properties. Tipo: Info:eu-repo/semantics/article Palavras-chave: Hyperbolic space; Conformal normal Gauss map; Ruled surface; Translational surface. Ano: 2006 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000100002 Minimal surfaces in euclidean 3-space and their mean curvature 1 cousins in hyperbolic 3-space 42 Fujimori,Shoichi. We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surface in euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensional hyperbolic space, with properly embedded annular ends, extend holomorphically to each end. Using this result, we derive conditions for when the pair must be a plane and a horosphere. Tipo: Info:eu-repo/semantics/article Palavras-chave: Minimal surfaces; CMC 1 cousins; Hyperbolic space. Ano: 2003 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000300002 Registros recuperados: 3 Primeira ... 1 ... Última

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