Results 41 to 50 of about 381,931 (282)
Classification of f-biharmonic submanifolds in Lorentz space forms
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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Foliation by constant mean curvature spheres [PDF]
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 ...
openaire +2 more sources
Constant mean curvature surfaces of any positive genus
We show the existence of several new families of non-compact constant mean curvature surfaces: (i) singly-punctured surfaces of arbitrary genus $g \geq 1$, (ii) doubly-punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.Comment: 14 ...
Kilian, M +3 more
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Constant mean curvature surfaces in 3-dimensional Thurston geometries [PDF]
This is a survey on the global theory of constant mean curvature surfaces in Riemannian homogeneous 3-manifolds. These ambient 3-manifolds include the eight canonical Thurston 3-dimensional geometries, i.e.
Fernández Delgado, Isabel, Mira, Pablo
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Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space
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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Stability of surfaces with constant mean curvature [PDF]
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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On the nondegeneracy of constant mean curvature surfaces
We prove that many complete, noncompact, constant mean curvature (CMC) surfaces $f:\Sigma \to \R^3$ are nondegenerate; that is, the Jacobi operator $\Delta_f + |A_f|^2$ has no $L^2$ kernel. In fact, if $\Sigma$ has genus zero and $f(\Sigma)$ is contained
Korevaar, Nick +2 more
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Reciprocal control of viral infection and phosphoinositide dynamics
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
wiley +1 more source
Constant mean curvature foliations in cosmological spacetimes [PDF]
Foliations by constant mean curvature hypersurfaces provide a possibility of defining a preferred time coordinate in general relativity. In the following various conjectures are made about the existence of foliations of this kind in spacetimes satisfying
Rendall, Alan D.
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The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source

