[PDF] Top 20 Hypersurfaces with constant mean curvature and two principal curvatures in Sn+1
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Hypersurfaces with constant mean curvature and two principal curvatures in Sn+1
... oriented hypersurfaces M with constant mean curvature and two principal curvatures immersed in the Euclidean ...sphere. In the minimal case, ... See full document
9
A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space
... = 1 and coth 2 r = (n − 1). Their normalized scalar curvature is R = 1 + (1/n)(2 + (n − 2) tanh 2 ...only two distinct constant principal curvatures ... See full document
14
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 ...the two-umbilical isometric immersions ... See full document
24
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 ... See full document
12
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- ...one in a hyperplane, there exist at least two ... See full document
14
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
28
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 by ... See full document
20
Embedded positive constant r-mean curvature hypersurfaces in M
... embedded hypersurfaces of positive constant r-mean ...embedded constant mean curvature hypersurface in the Euclidean space must be a standard round ...of ... See full document
17
On Complete Spacelike Hypersurfaces with Constant Scalar Curvature in the De Sitter Space
... spacelike hypersurfaces with constant scalar curvature in the de Sitter space S 1 n +1 is related to an analogue of Goddard’s conjecture for the second elementary ... See full document
8
Rigidity results for submanifolds with parallel mean curvature vector in the De Sitter space
... Kim and Nakagawa [9]. It is possible to show that these hypersurfaces have one principal curvature equal to coth r and (n − 1) principal curvatures equal to tanh ... See full document
10
Integral formulae for in conformally stationary spacetimes and applications
... K. In fact, the main simplification for the search of exact solutions to the Einstein equation is to assume, a priori, the existence of such symmetries [13, ...affine and affine conformal vector fields in ... See full document
24
Graphs with constant mean curvature in the 3–hyperbolic space
... deal with disc type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar ...defined in the ... See full document
7
Maximum principle for semielliptic trace operators and geometric applications
... +∞, and prove an Omori-Yau maximum principle in the same spirit of Theorem ...[13]. In [25], ...Hong and C. Sung considered the same trace operator and proved an Omori-Yau maximum ... See full document
16
On the index of constant mean curvature 1 surfaces in hyperbolic space
... as in the arguments on pages 55-59 of ...above and the proof in [Be] is that elliptic regularity is used there to show that the eigenfunctions corresponding to the eigenvalues are classical solutions ... See full document
31
Erratum to “A gap theorem for complete constant scalar curvature hypersurfaces in the de Sitter space”
... (20) Page 244, line 4. Says n(sup |H | − C); must be (n sup |H | − C). (21) Page 244, last line. Says n(sup |H | − C) twice; must be (n sup |H | − C). (22) Page 246, line 7. Says +4(n − 1) ¯ R + n ; must be −4(n − ... See full document
2
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
Uso de modelos não-lineares para o ajuste de curvas de crescimento de cavalos pantaneiros.
... concerned with the effects of their research and recommenda- tions on lifetime production efficiency (Fitzhugh, ...contained in a time series into a few biologically interpretable pa- rameters ... See full document
6
Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold
... generalize and extend to any Riemannian manifold maximum principles for hypersurfaces of the Euclidean space with vanishing curvature function, obtained by Hounie-Leite (1995 and ... See full document
7
Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
... works in the so-called hermitian model for H 3 (−1) and introduces, via twistor theory, a Gauss transform Ŵ S = (f, g) of a null curve S ⊂ SL(2, C ), where SL(2, C ) is the orientation preserving ... See full document
6
O(p + 1) × O(p + 1)-Invariant Hypersurfaces with
... obtain and classify explicit examples of hypersurfaces, with a given condition on the r-th mean curvature, that are invariant by the action of an isometry group (see, for instance, ... See full document
7
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