[PDF] Top 20 Graphs with constant mean curvature in the 3–hyperbolic space

... 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 ... See full document

... on the ambient space which come naturally either from a mathematical point of view (constant sectional curvature spacetimes and, more generally, Einstein spacetimes) or from a physical one ... See full document

... pole. The inverse image of a circular torus in R 3 under the stereographic projection will be called a circular torus in S 3 ...tori in R 3 comes from ... See full document

... important in Differential Geometry, providing an interesting class of constant mean curvature hypersurfaces and minimal hypersurfaces in a number of spaces endowed with good ... See full document

... Montiel in [27] for the study of hypersurfaces with constant mean curvature in de Sitter space, and it was continued later by Al´ıas, Romero and S´anchez in ... See full document

... estimates in the above theorem allow us to show uniqueness of the spherical caps in the class of immersions of the type above in which two of the three numbers A, V ... See full document

... while in the Riemannian case (from the Cauchy–Schwarz inequality) the support function η is always bounded, in the Lorentzian setting this boundedness occurs in a natural ... See full document

... boundary in IR 3 has finite index if and only if it is compact [LR], ...noncompact, the index is infinite, so it is natural to ask at what rate the index grows to infinity on an exhaustion of ... See full document

... hypersurface with constant normalized scalar curvature R in the de Sitter Space S 1 n +1 ...H the mean curvature and suppose that R = (R − 1) > 0 and R ≤ ... See full document

... that the only complete space-like hypersurfaces (those whose induced metric is Riemannian) in S n+1 1 with constant mean curvature are the totally umbilical ... See full document

... coincides with umbilical. We determine the principal curvatures of the two- umbilical isometric immersions in terms of the mean ...of the two-umbilical isometric ... See full document

... of mean curvature H in the De Sitter space S 3 1 (c) of constant curvature c > ...Cheng in 1991 [3] to general submanifolds in the De ... See full document

... of the (n + 1)-dimensional unit Euclidean sphere S n +1 ...be the square of the length of the second fundamental form A of ...On the other hand, Do Carmo et ...that the Clifford ... See full document

... do Carmo: Stability of minimal surfaces in 3-dimensional hyperbolic space,. Arch.[r] ... See full document

... reach the above results we start by studying prescribed mean curvature graphs, in the hyperbolic space, where the boundary is .... In the ... See full document

... non-parametric mean curvature flow of graphs with either a ninety degree contact angle or Dirichlet boundary condition on cylindrical domains has been studied by Huisken [31] and there proves ... See full document

... based in the paper [23], in collaboration with ...hypersurfaces with nonzero constant weighted mean curvature and whose boundary is contained into a slice of ... See full document

... to the one presented here. Small works in the so-called hermitian model for H 3 (−1) and introduces, via twistor theory, a Gauss transform Ŵ S = (f, g) of a null curve S ⊂ SL(2, C ), where ... See full document

... surface in R 3 has finite index if and only if its total curvature is ...[G].) In fact, Fischer- Colbrie’s analysis allows us to obtain explicit estimates for the index of concrete ... See full document

... that, in connection with our work but using different tools, ...hypersurfaces with constant mean curvature H > 1 in the Steady State space ...comparing ... See full document