Results 21 to 30 of about 50,594 (263)
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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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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Index and Total Curvature of Surfaces with Constant Mean Curvature [PDF]
Proceedings of the American Mathematical Society, 1990 We prove an analogue, for surfaces with constant mean curvature in hyperbolic space, of a theorem of Fischer-Colbrie and Gulliver about minimal surfaces in Euclidean space. That is, for a complete surface
Manfredo P. do Carmo +1 more
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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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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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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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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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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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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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