[PDF] Top 20 Spacelike hypersurfaces with constant mean curvature in Lorentz space
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Spacelike hypersurfaces with constant mean curvature in Lorentz space
... [r] ... See full document
10
Graphs with constant mean curvature in the 3–hyperbolic space
... found in (Hinojosa ... In order to show that a horizontal graph is also a geodesic one we study a Dirichlet problem for the equation ...given in the following ... See full document
7
Stability of spacelike hypersurfaces in foliated spacetimes
... have constant mean curvature. Therefore, in order to examine whether or not some critical immersion x is actually a maximum for J , one certainly needs to study the second variation J ... See full document
10
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 Steady State ... See full document
16
Hypersurfaces with constant mean curvature and two principal curvatures in Sn+1
... with second fundamental form A, then λ is an eigenvalue of A if and only if λ = λ − H is an eigenvalue of the traceless second fundamental form = A − H I . Those eigenvalues have the same multiplicities. ... See full document
9
Constant scalar curvature hypersurfaces with secondorder umbilicity
... umbilical coincides with umbilical. We determine the principal curvatures of the two- umbilical isometric immersions in terms of the mean curvatures. We give a description of the two-umbilical ... See full document
24
Integral formulae for in conformally stationary spacetimes and applications
... 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 (timelike ... 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
Foliations by umbilical spacelike hypersurfaces art agc foliations
... complete constant mean curvature spacelike hypersurfaces in the de Sitter space including the hyperbolic cylinders ([9] and [10]), so called because they can be generated ... See full document
20
A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space
... scalar curvature) and asked if the image of such a function is ...complete space-like hypersurface in S 1 n+1 with constant scalar curvature the value sup H 2 and ask if the ... See full document
14
Prescribed mean curvature hypersurfaces in Hn+1 with convex planar boundary, I
... prescribed mean curvature graphs, in the hyperbolic space, where the boundary is .... In the hyperbolic space there are several possible definitions of the graph of a ...half ... See full document
14
A relation between the right triangle and circular tori with constant mean curvature in the unit 3-sphere
... revolution in the 3-dimensional euclidean space has constant mean curvature in the unit 3-sphere if and only if their radii are the catet and the hypotenuse of an appropriate ... See full document
5
Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space
... surface in euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensional hyperbolic space, with properly embedded annular ends, extend ... See full document
8
Addendum to “Complete rotation hypersurfaces with Hk constant in space forms” art agcolares add
... the hypersurfaces given in the title for ambient spaces of non-positive curvature, while leaving some open questions for an spherical ambient space, namely: we left open some questions about ... See full document
10
Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
... Although Bianchi indicates how one can find CMC-1 surfaces starting with an arbitrary holo- morphic map f via Theorem 3.1, he does not complete his analysis by deriving explicit formulae. However, this can be ... See full document
6
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 ... See full document
12
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 ...others. In our ... See full document
17
On the index of constant mean curvature 1 surfaces in hyperbolic space
... surfaces in R 3 . For example, unlike the minimal catenoid in R 3 , the catenoid cousins in H 3 (−1) can have arbitrarily high index (Theorem ...surfaces in R 3 with index 1 are the ... See full document
31
Spacelike hypersurfaces with positive constant rmean curvature in Lorentzian product spaces
... product space −R × M n is said to be spatially closed when its Riemannian fiber M n is compact (for a thorough discussion about this class of space–times, see for example ...[4,5]). In the next ... See full document
17
Embedded positive constant r-mean curvature hypersurfaces in M
... The hypersurfaces with constant r-mean curvature include those of constant mean curvature, and of constant Gauss-Kronecker ...curvature. In ... See full document
17
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