Mean Curvature
Foliations by hypersurfaces with constant mean curvature
... Let M be a compact Riemannian manifold with nonnegative Ricci curvature and o~, a codimension-one C3-foliation of M whose leaves have constant mean curvature.. Then [r] ...
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Rigidity results for submanifolds with parallel mean curvature vector in the De Sitter space
... principal curvature equal to coth r and (n − 1) principal curvatures equal to tanh ...the mean curvature is given by nH = coth r + (n − 1) tanh r and || ...
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Prescribed mean curvature hypersurfaces in Hn+1 with convex planar boundary, I
... greater than 1, we solve a nonparametric Dirichlet problem and use this, together with a general flux formula, to prove a parametric uniqueness result, in the class of all immersed compact hypersur- faces with the same ...
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On the index of constant mean curvature 1 surfaces in hyperbolic space
... constant mean curvature 1 surface in hyperbolic 3-space is completely determined by the compact Riemann surface and secondary Gauss map that represent it in Bryant’s Weierstrass ...constant mean ...
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Hypersurfaces with constant mean curvature and two principal curvatures in Sn+1
... constant mean curvature and two principal curvatures immersed in the Euclidean ...constant mean curvature and give a new characterization of the ...constant mean curvature, ...
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Index growth of hypersurfaces with constant mean curvature
... 5.4 Other growth results. Kapouleas [K] has constructed examples of complete con- stant mean curvature surfaces in IR 3 which are periodic with respect to some 2 (resp. 3) dimensional lattice. It is not ...
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Spacelike hypersurfaces with constant mean curvature in the steady state space
... constant mean curvature ...order mean curvature, by applying the techniques used by Hoffman, de Lira and Rosenberg in [11], the second author obtained another sharp height es- timate for ...
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Uniqueness of starshaped compact hypersurfaces with prescribed mth mean curvature in hyperbolic space
... conditions for existence and uniqueness were given by I. Bakelman and B. Kantor [2], [3] and A. Treibergs and S.W. Wei [12] when m = 1 (the mean curvature case), by V. Oliker [10] when m = n (the Gauss ...
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Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
... constant mean curvature on surfaces in hyper- bolic 3-space in terms of holomorphic data first introduced in Bianchi’s Lezioni di Geometria Differenziale of 1927, therefore predating by many years the ...
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Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
... constant mean curvature in de Sitter space, and it was continued later by Al´ıas, Romero and S´anchez in [4–6] for constant mean curvature hypersurfaces in GRW space- times and, more ...
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Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space
... constant mean curvature (CMC) one surface in the 3-dimensional hyperbolic space, with properly embedded annular ends, extend holomorphically to each ...
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A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
... constant mean curvature in the unit 3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate right ...constant mean curvature, circular tori, stereographic ...
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Open Capillary Problem and Mean Curvature Flow of Killing Graphs
... The maximum principle is an important tool in the study of second order para- bolic problems, in particular here for the study of mean curvature flow. In general the maximum principle states that the ...
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Bernstein-type Theorems in Hypersurfaces with Constant Mean Curvature
... Theorem 1 is the main theorem of this paper and goes a long way towards getting rid of condition (0.1) in Theorem B. For its proof we need an auxiliary proposition that might be interesting by itself and states that the ...
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Embedded positive constant r-mean curvature hypersurfaces in M
... Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m + 1)-dimensional product manifold M × R with positive constant r-mean ...
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Stability of hypersurfaces of constant mean curvature in riemannian manifolds
... This isoperimetric character of the variational problem associated to hypersurfaces of constant mean curvature introduces additional complications in the treatment of stabi[r] ...
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Graphs with constant mean curvature in the 3–hyperbolic space
... the mean curvature H (u, v) is different to zero at any point of , then the horizontal and geodesic graphs of functions which are zero at the boundary of lie in only one of the halfspaces determined by ...
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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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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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