Results 31 to 40 of about 48,603 (267)
On 1-index of Unstable Spacelike Hypersurfaces in Pseudo-Euclidean Spheres [PDF]
Sahand Communications in Mathematical Analysis, 2021 In mathematical physics, the stable hypersurfaces of constant mean curvature in pseudo-Euclidian spheres have been interested by many researchers on general relativity.
Behzad Esmaeili +2 more
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Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
Anais da Academia Brasileira de Ciências, 2002 In this note we present a method for constructing constant mean curvature on surfaces in hyperbolic 3-space in terms of holomorphic data first introduced in Bianchi's Lezioni di Geometria Differenziale of 1927, therefore predating by many years the ...
LEVI L. DE LIMA, PEDRO ROITMAN
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On foliations of bounded mean curvature on closed three-dimensional Riemannian manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 The notion of systole of a foliation sys(ℱ) on an arbitrary foliated closed Riemannian manifold (M,ℱ) is introduced. A lower bound on sys(ℱ) of a bounded mean curvature foliation is given.
Dmytry Bolotov
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Foliation by constant mean curvature spheres [PDF]
Pacific Journal of Mathematics, 1991 The author summarizes the paper as follows: Let M be a Riemannian manifold of dimension \(n+1\) and \(p\in M\). Geodesic spheres around p of small radius constitute a smooth foliation. We shall show that this foliation can be perturbed into a foliation whose leaves are spheres of constant mean curvature, provided that p is a nondegenerate critical ...
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Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature
International Journal of Mathematics and Mathematical Sciences, 2006 The authors apply the generalized Minkowski formula to set up a spherical theorem. It is shown that a compact connected hypersurface with positive constant higher-order mean curvature Hr for some fixed r , 1≤r≤n, immersed in the de Sitter space S1n+1 ...
Kairen Cai, Huiqun Xu
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Classification of f-biharmonic submanifolds in Lorentz space forms
Open Mathematics, 2021 In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When ff is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal ...
Du Li
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Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space
International Journal of Mathematics and Mathematical Sciences, 2009 We obtain a height estimate concerning to a compact spacelike hypersurface Σn immersed with constant mean curvature H in the anti-de Sitter space ℍ1n+1, when its boundary ∂Σ is contained into an umbilical spacelike hypersurface of this spacetime which ...
Henrique F. de Lima +1 more
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Constant mean curvature foliation: singularity structure and curvature estimate [PDF]
Pacific Journal of Mathematics, 1996 The author studies codimension-one foliations of 3-dimensional Riemannian manifolds with leaves of constant mean curvature that can vary from leaf to leaf. The foliations are allowed to have isolated center singularities, that is, points having deleted neighborhoods which are foliated by compact leaves.
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Coplanar constant mean curvature surfaces [PDF]
Communications in Analysis and Geometry, 2007 We consider constant mean curvature surfaces of finite topology, properly embedded in three-space in the sense of Alexandrov. Such surfaces with three ends and genus zero were constructed and completely classified by the authors in arXiv:math.DG/0102183.
Grosse-Brauckmann, Karsten +2 more
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Closed 3-dimensional hypersurfaces with constant mean curvature and constant scalar curvature
Duke Mathematical Journal, 1990 The main geometrical result of the paper is that such a hypersurface with non-negative scalar curvature in a space form is isoparametric, i.e. lies in a family of parallel constant mean curvature hypersurfaces.
de Almeida, Sebastião C. +1 more
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