Results 11 to 20 of about 52,231 (263)
A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2022 We aimed to study constant mean curvature foliations of noncompact Riemannian manifolds, satisfying some geometric constraints. As a byproduct, we answer a question by M. P. do Carmo (see Introduction) about the leaves of such foliations.
S. Ilias, B. Nelli, M. Soret
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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.
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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.
openaire +2 more sources
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
doaj +1 more source
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.
openaire +4 more sources
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
doaj +1 more source