Results 21 to 30 of about 48,603 (267)
Gyroids of Constant Mean Curvature [PDF]
Experimental Mathematics, 1997 We use Brakke's Surface Evolver to deform a triply periodic minimal surface, the gyroid, into a continuous family of constant mean curvature surfaces with the same symmetry. We discuss stability and bifurcation problems for these surfaces.
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Entire bounded constant mean curvature Killing graphs [PDF]
Journal de Mathématiques Pures et Appliquées, 2015 We show that under certain curvature conditions of the ambient space an entire Killing graph of constant mean curvature lying inside a slab must be a totally geodesic slice.
Dajczer, Marcos, de Lira, Jorge H.
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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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Hypersurfaces With Constant Mean Curvature in Spheres [PDF]
Proceedings of the American Mathematical Society, 1994 Let M n {M^n} be a compact hypersurface of a sphere with constant mean curvature H H . We introduce a tensor ϕ \phi , related to H H and to the second fundamental form, and show that if |
Alencar, Hilário, do Carmo, Manfredo P.
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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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Curvature estimates for constant mean curvature surfaces [PDF]
Duke Mathematical Journal, 2019 We have separated the original paper into two parts. This new posting is the first part which is self-contained and deals with extrinsic curvature estimates for embedded nonzero constant mean curvature disks.
H. Meeks III, William +1 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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Bubbles with constant mean curvature, and almost constant mean curvature, in the hyperbolic space [PDF]
Calculus of Variations and Partial Differential Equations, 2021 AbstractGiven a constant $$k>1$$ k > 1 , let Z be the family of round spheres of radius $${{\,\mathrm{artanh}\,}}(k^{-1})$$ artanh
G. Cora, R. Musina
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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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