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Hypersurfaces with constant mean curvature and two principal curvatures in 
n+1 [PDF]
Anais da Academia Brasileira de Ciências, 2004 In this paper we consider compact oriented hypersurfaces M with constant mean curvature and two principal curvatures immersed in the Euclidean sphere.
Luis J. Alías +2 more
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Superharmonicity of curvatures for surfaces of constant mean curvature [PDF]
Pacific Journal of Mathematics, 1992 The article deals with the superharmonicity of some curvatures (the scalar curvature \(R\), the Gauss-Kronecker curvature \(K\), the \(\nu\)-th mean curvature \({K}_ \nu\), the level curvature \(L\)) of hypersurfaces of constant mean curvature in \(\mathbb{R}^ n\). For instance, it is proved that for a hypersurface of positive sectional curvatures \(R\)
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On the global evolution problem in 2+1 gravity [PDF]
, 1996 Existence of global CMC foliations of constant curvature 3-dimensional maximal globally hyperbolic Lorentzian manifolds, containing a constant mean curvature hypersurface with $\genus(\Sigma) > 1$ is proved.
Anthony J. Tromba +7 more
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Constant mean curvature surfaces with circular boundary in R³
Anais da Academia Brasileira de Ciências, 2006 In this work we deal with surfaces immersed in R³ with constant mean curvature and circular boundary. We improve some global estimates for area and volume of such immersions obtained by other authors.
Pedro A. Hinojosa
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Graphs with constant mean curvature in the 3-hyperbolic space
Anais da Academia Brasileira de Ciências, 2002 In this work we will deal with disc type surfaces of constant mean curvature in the three dimensional hyperbolic space which are given as graphs of smooth functions over planar domains.
PEDRO A. HINOJOSA
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Constant mean curvature surfaces [PDF]
Surveys in Differential Geometry, 2016 In this article we survey recent developments in the theory of constant mean curvature surfaces in homogeneous 3-manifolds, as well as some related aspects on existence and descriptive results for $H$-laminations and CMC foliations of Riemannian $n$-manifolds.
H. Meeks III, William +2 more
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Simons type formulas for surfaces in Sol3 and applications
Bulletin of Mathematical Sciences, 2023 We compute the Laplacian of the squared norm of the second fundamental form of a surface in Sol3 and then use this Simons type formula to obtain some gap results for compact constant mean curvature surfaces of this space.
Dorel Fetcu
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Constant Mean Curvature Spacelike Surfaces in Lorentzian Warped Products
Advances in Mathematical Physics, 2015 We characterize the spacelike slices of a Lorentzian warped product as the only constant mean curvature spacelike surfaces under suitable geometrical and physical assumptions.
Juan A. Aledo, Rafael M. Rubio
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Cosmological spacetimes not covered by a constant mean curvature slicing [PDF]
, 1997 We show that there exist maximal globally hyperbolic solutions of the Einstein-dust equations which admit a constant mean curvature Cauchy surface, but are not covered by a constant mean curvature foliation.Comment: 11 ...
Alan D Rendall +14 more
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Weighted Cheeger constant and first eigenvalue lower bound estimates on smooth metric measure spaces
Advances in Difference Equations, 2021 We establish new eigenvalue inequalities in terms of the weighted Cheeger constant for drifting p-Laplacian on smooth metric measure spaces with or without boundary.
Abimbola Abolarinwa +2 more
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