Results 11 to 20 of about 50,594 (263)
Bubbles with constant mean curvature, and almost constant mean curvature, in the hyperbolic space [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractGiven a constant $$k>1$$ k > 1 , let Z be the family of round spheres of radius $${{\,\mathrm{artanh}\,}}(k^{-1})$$ artanh
G. Cora, R. Musina
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CONSTANT MEAN CURVATURE HYPERSURFACES IN SPHERES [PDF]
Glasgow Mathematical Journal, 2011 AbstractIn this paper, we first summarise the progress for the famous Chern conjecture, and then we consider n-dimensional closed hypersurfaces with constant mean curvature H in the unit sphere n+1 with n ≤ 8 and generalise the result of Cheng et al. (Q. M. Cheng, Y. J. He and H. Z.
Deng, Qin-Tao, Gu, Hui-Ling, Su, Yan-Hui
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New Constant Mean Curvature Surfaces [PDF]
Experimental Mathematics, 2000 We use the Dorfmeister–Pedit–Wu construction to present three new classesof immersed CMC cylinders, each of which includes surfaces with umbilics. The first class consists of cylinders with one end asymptotic to a Delaunay surface. The second class presents surfaces with a closed planar geodesic.
Martin Kilian +2 more
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Hypersurfaces With Constant Mean Curvature in Spheres [PDF]
Proceedings of the American Mathematical Society, 1994 Let M n {M^n}
Alencar, Hilário, do Carmo, Manfredo P.
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Constant mean curvature surfaces in AdS 3 [PDF]
Journal of High Energy Physics, 2010 19 pages, v2: minor corrections, to appear in ...
Sakai, Kazuhiro, Satoh, Yuji
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Gyroids of Constant Mean Curvature [PDF]
Experimental Mathematics, 1997 We use Brakke's Surface Evolver to deform a triply periodic minimal surface, the gyroid, into a continuous family of constant mean curvature surfaces with the same symmetry. We discuss stability and bifurcation problems for these surfaces.
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Hypersurfaces with constant scalar curvature and constant mean curvature
Annals of Global Analysis and Geometry, 1995 According to the authors' abstract, ``non-spherical hypersurfaces in \(E^ 4\) with non-zero constant mean curvature and constant scalar curvature are the only hypersurfaces possessing the following property: Its position vector can be written as a sum of two non-constant maps, which are eigenmaps of the Laplacian operator with corresponding eigenvalues
Hasanis, T., Vlachos, T.
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Stable constant mean curvature hypersurfaces [PDF]
Proceedings of the American Mathematical Society, 2007 This paper is devoted to the study of constant-mean-curvature-hypersurfaces \(M^n\) (called here \(H\)-hypersurfaces) in a Riemannian manifold \(\mathcal N^{n+1} \; (n = 3, 4)\,\) which has sectional curvature uniformly bounded from below. If \(\text{sec} (\mathcal N)\) denotes the infimum of the sectional curvatures of \(\mathcal N\) and \(H\) the ...
ELBERT F, NELLI, BARBARA, ROSENBERG H.
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Superharmonicity of curvatures for surfaces of constant mean curvature [PDF]
Pacific Journal of Mathematics, 1992 The article deals with the superharmonicity of some curvatures (the scalar curvature \(R\), the Gauss-Kronecker curvature \(K\), the \(\nu\)-th mean curvature \({K}_ \nu\), the level curvature \(L\)) of hypersurfaces of constant mean curvature in \(\mathbb{R}^ n\). For instance, it is proved that for a hypersurface of positive sectional curvatures \(R\)
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Hypersurfaces with constant mean curvature and two principal curvatures in 
n+1 [PDF]
Anais da Academia Brasileira de Ciências, 2004 In this paper we consider compact oriented hypersurfaces M with constant mean curvature and two principal curvatures immersed in the Euclidean sphere.
Luis J. Alías +2 more
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