Surfaces of Constant Mean Curvature
Graphs with constant mean curvature in the 3–hyperbolic space
... type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar ...types of graphs that could ...
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Lower bounds for index of Wente tori
... unstable surfaces of constant mean curvature H 6= 0 with low index – the original Wente tori – all have index at least 7, and with a numerical experiment suggested that the sharpest ...
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Index growth of hypersurfaces with constant mean curvature
... number of ends of the surface. There are many known surfaces to which this theorem (or Theorem ...cmc-1 surfaces with asympotically Delaunay ends have been constructed by ...
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Constant Mean Curvature Surfaces with Circular Boundary inR
... surface must be a spherical cap. Later (Barbosa 1991) extended this result to the case where the surface is contained in a cylinder of radius |H | 1 . Barbosa and Jorge (Barbosa and Jorge 1994) and Alias, López ...
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Spacelike hypersurfaces with constant mean curvature in the steady state space
... height of compact space- like surfaces Σ 2 immersed into the 3-dimensional Lorentz-Minkowski space L 3 with constant mean curvature ...case of constant higher order ...
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Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space
... 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 ...
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Embedded positive constant r-mean curvature hypersurfaces in M
... sectional curvature bounded from ...positive constant r-mean curvature. We obtain height estimates of certain compact vertical graphs in M × R with boundary in M × ...existence ...
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Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
... purpose of this note is to stress that in Bianchi’s Lezioni di Geometria Differenziale (Bianchi 1927), we may find a recipe for constructing CMC-1 surfaces from holomorphic ...
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Stability of constant mean curvature surfaces in riemannian 3space form
... do Carmo: Stability of minimal surfaces in 3-dimensional hyperbolic space,. Arch.[r] ...
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On the index of constant mean curvature 1 surfaces in hyperbolic space
... total curvature is ...index of concrete examples with finite total ...ends of the original surface. Moreover, the Gauss map of M extends meromorphically across the punctures defining a ...
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Foliation of 3dimensional space forms by surfaces with constant mean curvature
... FOLIATION OF3-DIMENSIONAL SPACE FORMS BY SURFACES WITH CONSTANT MEAN CURVATURE.. J.L.M..[r] ...
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Constant scalar curvature hypersurfaces with secondorder umbilicity
... In this paper, we will study k-umbilical isometric immersions in Riemannian manifolds. We concentrate mainly on two-umbilical isometric immersions. First, we will prove the following theorem (cf. Theorem 8.1) on the ...
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Integral formulae for in conformally stationary spacetimes and applications
... point of view (constant sectional curvature spacetimes and, more generally, Einstein spacetimes) or from a physical one (timelike convergence condition and, more generally, null convergence ...
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A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space
... for constant scalar curvature hypersur- faces in S 1 n+1 ...the constant scalar curvature compact Riemannian case in spheres, a rigidity theorem is given in ...with constant normalized ...
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A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
... outside of the unit ball B(1) we will describe those which have the desired ...circle of the xz − plane, 0 < α < π/2, draw its tangent until it meets the x axis at the point Q(α) = (sec α, 0, 0) which ...
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UNIVERSIDADE FEDERAL DE ALAGOAS INSTITUTO DE MATEMÁTICA PROGRAMA DE PÓS-GRADUAÇÃO EM MATEMÁTICA UFBA-UFAL MÁRCIO SILVA SANTOS
... context of weighted manifolds, actually, we generalize an improved versions of Theorem C due to Yun (see [73]) for complete Riemannian manifolds and for globally hyperbolic ...theorems of spatial ...
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On stability of cones in R{n+1} with zero scalar curvature
... so that a bounded domain D ⊂ M is stable if I ( f ) > 0 for all f supported in D. Consider now a compact orientable (n − 1)-dimensional manifold M immersed as a hypersurface of the unit sphere S n (1) of ...
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Maximum principle for semielliptic trace operators and geometric applications
... validity of the weak maximum principle for a fairly general class of semi-elliptic trace operators 4, see Theorem ...versions of Omori-Yau maximum principle were considered by Alias, Impera and ...
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The topology of complete minimal surfaces of finite total Gaussian curvature
... The catenoid zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONMLKJIHGFEDCBA is the only embedded complete minimal annulus with finite total curvature.. Suppose that M is an embe[r] ...
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Erratum to “A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space”
... Erratum to “A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space”.. [J.[r] ...
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