Results 11 to 20 of about 381,931 (282)
On Parametric Surfaces with Constant Mean Curvature Along Given Smarandache Curves in Lie Group
Journal of New Theory, 2022 This paper finds sufficient conditions to determine a surface whose mean curvature along a given Smarandache curve is constant in a three-dimensional Lie group.
Sevinç Taze, Zuhal Kucukarslan Yuzbasi
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Hypersurfaces With Constant Mean Curvature in Spheres [PDF]
Proceedings of the American Mathematical Society, 1994 Let M n {M^n} be a compact hypersurface of a sphere with constant mean curvature H H . We introduce a tensor ϕ \phi , related to H H and to the second fundamental form, and show that if |
Alencar, Hilário, do Carmo, Manfredo P.
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Mathematics, 2022 In this paper, we study the intrinsic structures of high-dimensional data sets for analyzing their geometrical properties, where the core message of the high-dimensional data is hiding on some nonlinear manifolds.
Junhong Dong, Qiong Li, Ximin Liu
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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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Examples of surfaces of constant mean curvature
Дифференциальная геометрия многообразий фигур, 2019 A surface in E3 is called parallel to the surface M if it consists of the ends of constant length segments, laid on the normals to the surfaces at points of this surface. The tangent planes at the corresponding points will be parallel.
M. A. Cheshkova
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New Bernstein Type Results in Weighted Warped Products
Journal of Mathematics, 2021 In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products.
Ning Zhang
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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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Bernstein-type theorems in hypersurfaces with constant mean curvature
Anais da Academia Brasileira de Ciências, 2000 By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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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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Parabolic stable surfaces with constant mean curvature [PDF]
, 2010 We prove that if u is a bounded smooth function in the kernel of a nonnegative Schrodinger operator $-L=-(\Delta +q)$ on a parabolic Riemannian manifold M, then u is either identically zero or it has no zeros on M, and the linear space of such functions ...
A. Grigor’yan +29 more
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