Results 31 to 40 of about 50,594 (263)
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 hypersurfaces with constant δ‐invariant [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We completely classify constant mean curvature hypersurfaces (CMC) with constant δ‐invariant in the unit 4‐sphere S4 and in the Euclidean 4‐space 𝔼4.
Chen, Bang-Yen, Garay, Oscar J.
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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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Stability of surfaces with constant mean curvature [PDF]
Proceedings of the American Mathematical Society, 1989 The notion of stability for surfaces with constant mean curvature H used in this paper is not the appropriate one. It requires the second variation of area to be positive for all compactly supported variations, and not only for those that preserve volume. This is such a strong definition that with it round spheres are not stable [cf. \textit{J.
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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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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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