[PDF] Top 20 Foliations by hypersurfaces with constant mean curvature
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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] ... See full document
11
Foliations by umbilical spacelike hypersurfaces art agc foliations
... that constant mean curvature spacelike hypersurfaces are ...foliation by constant mean curvature umbilical hypersurfaces and he was able to show, with ... See full document
20
On Complete Spacelike Hypersurfaces with Constant Scalar Curvature in the De Sitter Space
... hypersurface with constant normalized scalar curvature R in the de Sitter Space S 1 n +1 ...the mean curvature and suppose that R = (R − 1) > 0 and R ≤ sup H 2 ≤ C R , where C R is a ... See full document
8
Integral formulae for in conformally stationary spacetimes and applications
... sectional curvature spacetimes and, more generally, Einstein spacetimes) or from a physical one (timelike convergence condition and, more generally, null convergence condition), Al´ıas, Romero and S´ anchez were ... See full document
24
A NNALES DE LA FACULTÉ DES SCIENCES DET OULOUSE
... scalar curvature of the hypersurface M as a non-negative constant then M must be ...for hypersurfaces with constant mean curvature and constant Gauss-Kronecker ... See full document
17
Spacelike hypersurfaces with positive constant rmean curvature in Lorentzian product spaces
... motivated by the fact that these hypersurfaces exhibit nice Bernstein-type ...space-like hypersurfaces of the (n + 1)-dimensional Lorentz–Minkowski space L n+1 with zero mean ... See full document
17
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 ...hypersurface with ... See full document
14
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] ... See full document
12
Constant Mean Curvature Surfaces with Circular Boundary inR
... determined by the plane of the boundary, then the Alexandrov’s method of reflection (Alexandrov 1958) shows that M has all the symetries of its ...determined by the plane of the ... See full document
6
Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
... spacelike hypersurfaces with con- stant higher order mean curvature in generalized Robertson–Walker (GRW) ...hypersurface with constant higher order mean curvature ... See full document
28
Uniqueness of starshaped compact hypersurfaces with prescribed mth mean curvature in hyperbolic space
... coincides with the m-th elementary symmetric function of principal curvatures of M for a given m? The corresponding existence and uniqueness problems in Euclidean space have been investigated by several ... See full document
12
UNIVERSIDADE FEDERAL DE ALAGOAS INSTITUTO DE MATEMÁTICA PROGRAMA DE PÓS-GRADUAÇÃO EM MATEMÁTICA UFBA-UFAL MÁRCIO SILVA SANTOS
... compact hypersurfaces with nonzero constant weighted mean curvature and whose boundary is contained into a slice of weighted product spaces of nonnegative Bakry-Émery Ricci ... See full document
66
Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
... starting with an arbitrary holo- morphic map f via Theorem ...analysis by deriving explicit ...calculate, by means of (2), the envelopes of this congruence of spheres, one of them being a piece of ... See full document
6
A Priori estimates for starshaped compact hypersurfaces with prescribed mth curvature function in space form
... (the mean curvature case), by ...Gauss curvature case), and by ...Gauss curvature case in R n+1 were investigated by ... See full document
17
A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
... proved by Montiel and Ros (Montiel and Ros 1981) that a compact embedded surface S with constant mean curvature contained in an open hemisphere of S 3 must be a round ...have ... See full document
5
On the index of constant mean curvature 1 surfaces in hyperbolic space
... described by Umehara and Yamada [UY1] (section ...3 with index 1 are the catenoid and Enneper’s surface, there are many more examples of index 1 surfaces in the hyperbolic case (final remark of section ... See full document
31
Prescribed mean curvature hypersurfaces in Hn+1 with convex planar boundary, I
... [BE1] with the full results and a sketch of the ...appeared with results related to the ...embedded hypersurfaces with constant mean curvature jHj 6 1 and ... See full document
14
Rigidity results for submanifolds with parallel mean curvature vector in the De Sitter space
... these hypersurfaces have one 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 || ... See full document
10
Graphs with constant mean curvature in the 3–hyperbolic space
... This work is part of my Doctoral Thesis at the Universidade Federal do Ceará – UFC. I want to thank my advisor, Professor J. Lucas Barbosa, and also Professor A.G. Colares, by the encouragement and many helpful ... See full document
7
Embedded positive constant r-mean curvature hypersurfaces in M
... manifold with sectional curvature bounded from ...consider hypersurfaces in the (m + 1)-dimensional product manifold M × R with positive constant r-mean ...R with boundary ... See full document
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