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	Provedor de dados Anais da ABC (AABC) (6) Autor HINOJOSA,PEDRO A. (2) Almeida,Sebastião C. de (1) Alías,Luis J. (1) Barros,Abdênago (1) Brasil Jr.,Aldir (1) Hinojosa,Pedro A. (1) TENENBLAT,KETI (1) Mais... Palavra-chave Constant mean curvature (6) Surfaces with boundary (2) Area (1) Circular tori (1) Elliptic partial differential equation (1) Elliptic partial differential equations (1) Flat torus (1) Geodesic and horizontal graphs (1) H(r)-torus (1) Hyperbolic space (1) Hypersurfaces (1) Linear Weingarten surfaces (1) Minimal surfaces (1) Ribaucour transformations (1) Simons formula (1) Spherical caps (1) Stereographic projection (1) Volume (1) Mais... Tipo do documento Info:eu-repo/semantics/article (6) Ano 2006 (1) 2004 (2) 2002 (3) País Brazil (6) Idioma Inglês (6)		Ordenar por:  Relevância Autor Título Ano Registros recuperados: 6 Primeira ... 1 ... Última Graphs with constant mean curvature in the 3-hyperbolic space Anais da ABC (AABC) 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 Hypersurfaces with constant mean curvature and two principal curvatures in n+1 Anais da ABC (AABC) Alías,Luis J.; Almeida,Sebastião C. de; Brasil Jr.,Aldir. In this paper we consider compact oriented hypersurfaces M with constant mean curvature and two principal curvatures immersed in the Euclidean sphere. In the minimal case, Perdomo (Perdomo 2004) andWang (Wang 2003) obtained an integral inequality involving the square of the norm of the second fundamental form of M, where equality holds only if M is the Clifford torus. In this paper, using the traceless second fundamental form of M, we extend the above integral formula to hypersurfaces with constant mean curvature and give a new characterization of the H(r)-torus. Tipo: Info:eu-repo/semantics/article Palavras-chave: Hypersurfaces; Constant mean curvature; Simons formula; H(r)-torus. Ano: 2004 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000300003 A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere Anais da ABC (AABC) Barros,Abdênago. In this note we will show that the inverse image under the stereographic projection of a circular torus of revolution in the 3-dimensional euclidean space has constant mean curvature in the unit 3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right triangle. Tipo: Info:eu-repo/semantics/article Palavras-chave: Flat torus; Constant mean curvature; Circular tori; Stereographic projection. Ano: 2004 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652004000400002 Constant mean curvature surfaces with circular boundary in R³ Anais da ABC (AABC) Hinojosa,Pedro A.. In this work we deal with surfaces immersed in R³ with constant mean curvature and circular boundary. We improve some global estimates for area and volume of such immersions obtained by other authors. We still establish the uniqueness of the spherical cap in some classes of cmc surfaces. Tipo: Info:eu-repo/semantics/article Palavras-chave: Surfaces with boundary; Constant mean curvature; Spherical caps; Area; Volume. Ano: 2006 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000100001 Surfaces of Constant Mean Curvature in Euclidean 3-space Orthogonal to a Plane along its Boundary Anais da ABC (AABC) HINOJOSA,PEDRO A.. We consider compact surfaces with constant nonzero mean curvature whose boundary is a convex planar Jordan curve. We prove that if such a surface is orthogonal to the plane of the boundary, then it is a hemisphere. Tipo: Info:eu-repo/semantics/article Palavras-chave: Surfaces with boundary; Constant mean curvature; Elliptic partial differential equation. Ano: 2002 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000100004 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 Registros recuperados: 6 Primeira ... 1 ... Última

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