Results 31 to 40 of about 381,931 (282)
Constant mean curvature surfaces on a strip [PDF]
Pacific Journal of Mathematics, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Stability of hypersurfaces with constant mean curvature
Mathematische Zeitschrift, 1984 Let \(x:{\text M}^{n}\rightarrow\,{\text R}^{n+1}\) be an immersion of an orientable, n-dimensional manifold \({\text M}^{n}\) into the euclidean space \({\text R}^{n+1}\). The condition that x has nonzero constant mean curvature H = H 0 is known to be equivalent to the fact that xis a critical point of a variational problem.
Barbosa, Joao, do, Carmo Manfredo
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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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Coplanar constant mean curvature surfaces
, 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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The rigidity of embedded constant mean curvature surfaces [PDF]
, 2007 We study the rigidity of complete, embedded constant mean curvature surfaces in R^3. Among other things, we prove that when such a surface has finite genus, then intrinsic isometries of the surface extend to isometries of R^3 or its isometry group ...
Meeks III, William H. +1 more
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Asymptotically Hyperbolic Non Constant Mean Curvature Solutions of the Einstein Constraint Equations [PDF]
, 1996 We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of large sets of non constant mean curvature solutions of the Einstein constraints on closed manifolds can be adapted to verify the existence of large sets of ...
+20 more
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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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