[PDF] Top 20 On Complete Spacelike Hypersurfaces with Constant Scalar Curvature in the De Sitter Space
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On Complete Spacelike Hypersurfaces with Constant Scalar Curvature in the De Sitter Space
... a complete spacelike hypersurface with constant normalized scalar curvature R in the de Sitter Space S 1 n +1 ...H the mean curvature ... See full document
8
Spacelike hypersurfaces with positive constant rmean curvature in Lorentzian product spaces
... while in the Riemannian case (from the Cauchy–Schwarz inequality) the support function η is always bounded, in the Lorentzian setting this boundedness occurs in a natural ... See full document
17
Constant scalar curvature hypersurfaces with secondorder umbilicity
... immersions in Riemannian manifolds. We concentrate mainly on two-umbilical isometric ...prove the following theorem (cf. Theorem 8.1) on the determination of the principal ... See full document
24
Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
... compact spacelike hypersurfaces in Lorentzian ambient spacetimes was first started by Montiel in [27] in his study of hypersur- faces with constant mean curvature ... See full document
28
Integral formulae for in conformally stationary spacetimes and applications
... Interest in the study of spacelike hypersurfaces in Lorentzian manifolds has increased very much in recent years, from both the physical and mathematical points of ... See full document
24
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 points of ... See full document
10
Addendum to “Complete rotation hypersurfaces with Hk constant in space forms” art agcolares add
... compared with a paper by F. Brito and M.L. Leite [1], where the authors proved that there are no compact minimal embedded rotation hypersurfaces in S n +1 other than Clifford tori and round ... See full document
10
art agcolares complete
... analyzing the variation of |A| 2 for the class of rotation hypersurfaces with constant scalar curvature, introduced by Leite ... See full document
12
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 ... See full document
20
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 Euclidean ... See full document
17
Index growth of hypersurfaces with constant mean curvature
... bounds on the number of ends of the ...applies. Complete finite-topology cmc-1 surfaces with asympotically Delaunay ends have been constructed by ...works in progress for ... See full document
13
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] ... See full document
2
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
Rigidity results for submanifolds with parallel mean curvature vector in the De Sitter space
... mean curvature H in the De Sitter space S 3 1 (c) of constant curvature c > ...Cheng in 1991 [3] to general submanifolds in the De Sitter ... 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
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UNIVERSIDADE FEDERAL DE ALAGOAS INSTITUTO DE MATEMÁTICA PROGRAMA DE PÓS-GRADUAÇÃO EM MATEMÁTICA UFBA-UFAL MÁRCIO SILVA SANTOS
... based in the papers [22], in collaboration with ...tions on its generalized Ricci curvature tensor. As applications of the our weighted compact- ness theorems, we present ... See full document
66
Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold
... that the function ! is elliptic with respect to f means that %(f )(x) belongs to Ŵ and ! is elliptic in %(f )(x) for all x ∈ U ...holds the following maximum principle(see Alexandrov 1962): ... See full document
7
A NNALES DE LA FACULTÉ DES SCIENCES DET OULOUSE
... closed hypersurfaces of 54 with given geometric ...that the second fundamental form of a hypersurface M3 C 54 is locally represented by a symmetric 3 x 3 matrix ...A. In this particular case ... See full document
17
Uniqueness of starshaped compact hypersurfaces with prescribed mth mean curvature in hyperbolic space
... to the case K = −1, it seems worthwhile to record here the results which are also valid for the case K = +1 because they may be useful in future studies of similar ...Furthermore, the ... See full document
12
Rigidity Theorems of Clifford Torus
... below. In this situation, by applying the Generalized Maximum Principle due to Yau and Omori (Yau 1975), and a result due to (Cheng 1993), we can generalize all the results in this note to ... See full document
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