[PDF] Top 20 Spacelike hypersurfaces with constant mean curvature in the steady state space
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Spacelike hypersurfaces with constant mean curvature in the steady state space
... that, in connection with our work but using different tools, ...compact spacelike hypersurfaces with constant mean curvature H > 1 in the ... See full document
16
Spacelike hypersurfaces with positive constant rmean curvature in Lorentzian product spaces
... apply the technique used by Cheng and Rosenberg to prove Theorem ...immersed with positive constant r -mean curvature into a Riemannian product R × M n and whose boundary ∂ is ... See full document
17
Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
... 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 ... See full document
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A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space
... 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
14
Index growth of hypersurfaces with constant mean curvature
... using the asymptotics result of Korevaar, Kusner and Solomon, we derive an explicit asymptotic index growth rate for finite topology cmc 1 surfaces with prop- erly embedded ...for hypersurfaces ... See full document
13
Integral formulae for in conformally stationary spacetimes and applications
... 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
24
S Curvature in the Euclidean Space
... translation hypersurfaces are very important in Differential Geometry, providing an interesting class of constant mean curvature hypersurfaces and minimal hypersurfaces ... See full document
14
Prescribed mean curvature hypersurfaces in Hn+1 with convex planar boundary, I
... graphs in the hyperbolic space are given by some geodesic disks of umbilic hypersurfaces (spheres, horospheres and equidistant hypersur- ...when the ambient space is the ... See full document
14
Foliations by umbilical spacelike hypersurfaces art agc foliations
... In the study of spacelike hypersurfaces in Lorentzian manifolds appears as an important mark Goddard’s conjecture, posed in 1977 [7]: the only complete constant ... See full document
20
Stability of spacelike hypersurfaces in foliated spacetimes
... Spacelike hypersurfaces with constant mean curvature in Lorentz manifolds have been object of great interest in recent years, both from physical and mathematical ... See full document
10
Constant scalar curvature hypersurfaces with secondorder umbilicity
... 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
24
On Complete Spacelike Hypersurfaces with Constant Scalar Curvature in the De Sitter Space
... complete spacelike hypersurface with constant normalized scalar curvature R in the de Sitter Space S 1 n +1 ...H the mean curvature and suppose that R ... See full document
8
Rigidity results for submanifolds with parallel mean curvature vector in the De Sitter space
... parallel mean curvature vector with more than one topological end is a hyperbolic ...cylinder. In 1991, Ki, Kim, Nakagawa [9] obtained an upper bound for the norm of the second ... See full document
10
Spacelike hypersurfaces with constant mean curvature in Lorentz space
... [r] ... See full document
10
Embedded positive constant r-mean curvature hypersurfaces in M
... consider the properties of symmetry of certain embedded hypersurfaces of positive constant r-mean ...embedded constant mean curvature hypersurface in the ... See full document
17
Stability of constant mean curvature surfaces in riemannian 3space form
... do Carmo: Stability of minimal surfaces in 3-dimensional hyperbolic space,. Arch.[r] ... See full document
7
A Priori estimates for starshaped compact hypersurfaces with prescribed mth curvature function in space form
... [6] L. Caffarelli, L. Nirenberg, and J. Spruck. Nonlinear second order elliptic equations IV. Starshaped compact Weingarten hypersurfaces. In Current Topics in PDE’s, ed. by Y. Ohya, K. Kasahara, N. ... See full document
17
Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
... be, the above account is not entirely correct and the main purpose of this note is to stress that in Bianchi’s Lezioni di Geometria Differenziale (Bianchi 1927), we may find a recipe for constructing ... See full document
6
Constant Mean Curvature Surfaces with Circular Boundary inR
... 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
6
On the index of constant mean curvature 1 surfaces in hyperbolic space
... of the first three items follows by standard variational arguments, such as in the arguments on pages 55-59 of ...[Be]. The only difference between the proof of the lemma above ... See full document
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