Results 31 to 40 of about 52,231 (263)
Total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear Studies, 2023 We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces via Reilly’s identities. As applications, we derive several geometric inequalities for a convex hypersurface Γ\Gamma in a Cartan-Hadamard manifold MM.
Ghomi Mohammad, Spruck Joel
doaj +1 more source
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.
openaire +3 more sources
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
doaj +1 more source
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 ...
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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.
openaire +2 more sources
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
doaj +1 more source
Calpain small subunit homodimerization is robust and calcium‐independent
FEBS Letters, EarlyView.Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source