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	Provedor de dados Anais da ABC (AABC) (4) Autor CASTILLON,PHILIPPE (1) Fujimori,Shoichi (1) HINOJOSA,PEDRO A. (1) SILVA,GILVANEIDE N. (1) TENENBLAT,KETI (1) Palavra-chave Minimal surfaces (4) CMC 1 cousins (1) Constant mean curvature (1) Finite total curvature (1) Gauss map (1) Hyperbolic space (1) Image of the Gauss map (1) Linear Weingarten surfaces (1) Ribaucour transformations (1) Spectral theory (1) Stability operator (1) Mais... Tipo do documento Info:eu-repo/semantics/article (4) Ano 2013 (1) 2003 (1) 2002 (2) País Brazil (4) Idioma Inglês (4)		Ordenar por:  Relevância Autor Título Ano Registros recuperados: 4 Primeira ... 1 ... Última On Ribaucour transformations and applications to linear Weingarten surfaces Anais da ABC (AABC) TENENBLAT,KETI. We present a revised definition of a Ribaucour transformation for submanifolds of space forms, with flat normal bundle, motivated by the classical definition and by more recent extensions. The new definition provides a precise treatment of the geometric aspect of such transformations preserving lines of curvature and it can be applied to submanifolds whose principal curvatures have multiplicity bigger than one. Ribaucour transformations are applied as a method of obtaining linear Weingarten surfaces contained in Euclidean space, from a given such surface. Examples are included for minimal surfaces, constant mean curvature and linear Weingarten surfaces. The examples show the existence of complete hyperbolic linear Weingarten surfaces in Euclidean space. Tipo: Info:eu-repo/semantics/article Palavras-chave: Ribaucour transformations; Linear Weingarten surfaces; Minimal surfaces; Constant mean curvature. Ano: 2002 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000400001 Minimal surfaces in euclidean 3-space and their mean curvature 1 cousins in hyperbolic 3-space Anais da ABC (AABC) 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 The Gauss Map of Complete Minimal Surfaces with Finite Total Curvature Anais da ABC (AABC) HINOJOSA,PEDRO A.; SILVA,GILVANEIDE N.. In this paper we are concerned with the image of the normal Gauss map of a minimal surface immersed in ℝ3 with finite total curvature. We give a different proof of the following theorem of R. Osserman:The normal Gauss map of a minimal surface immersed inℝ3with finite total curvature, which is not a plane, omits at most three points of��2Moreover, under an additional hypothesis on the type of ends, we prove that this number is exactly 2. Tipo: Info:eu-repo/semantics/article Palavras-chave: Gauss map; Minimal surfaces; Finite total curvature; Image of the Gauss map. Ano: 2013 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652013000401217 Spectral properties and conformal type of surfaces Anais da ABC (AABC) CASTILLON,PHILIPPE. In this short note, we announce a result relating the geometry of a riemannian surface to the positivity of some operators on this surface (the operators considered here are of the form surface Laplacian plus a scalar multiple of the curvature function). In particular we obtain a theorem "à la Huber'': under a spectral hypothesis we prove that the surface is conformally equivalent to a Riemann surface with a finite number of points removed. This problem has its origin in the study of stable minimal surfaces. Tipo: Info:eu-repo/semantics/article Palavras-chave: Spectral theory; Minimal surfaces; Stability operator. Ano: 2002 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000400003 Registros recuperados: 4 Primeira ... 1 ... Última

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