Results 1 to 10 of about 381,832 (183)
Constant mean curvature surfaces in AdS 3 [PDF]
Journal of High Energy Physics, 2010 19 pages, v2: minor corrections, to appear in ...
Sakai, Kazuhiro, Satoh, Yuji
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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.
William H Meeks, Giuseppe Tinaglia
exaly +7 more sources
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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Constant Mean Curvature Surfaces Along a Spacelike Curve
Cumhuriyet Science Journal, 2022 We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question.
Ergin Bayram
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CONSTANT MEAN CURVATURE HYPERSURFACES IN SPHERES [PDF]
Glasgow Mathematical Journal, 2011 AbstractIn this paper, we first summarise the progress for the famous Chern conjecture, and then we consider n-dimensional closed hypersurfaces with constant mean curvature H in the unit sphere n+1 with n ≤ 8 and generalise the result of Cheng et al. (Q. M. Cheng, Y. J. He and H. Z.
Deng, Qin-Tao, Gu, Hui-Ling, Su, Yan-Hui
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On timelike hypersurfaces of the Minkowski 4-space with 1-proper second mean curvature vector [PDF]
Journal of Mahani Mathematical Research, 2023 The mean curvature vector field of a submanifold in the Euclidean $n$-space is said to be $proper$ if it is an eigenvector of the Laplace operator $\Delta$.
Firooz Pashaie +3 more
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New Constant Mean Curvature Surfaces [PDF]
Experimental Mathematics, 2000 We use the Dorfmeister–Pedit–Wu construction to present three new classesof immersed CMC cylinders, each of which includes surfaces with umbilics. The first class consists of cylinders with one end asymptotic to a Delaunay surface. The second class presents surfaces with a closed planar geodesic.
Martin Kilian +2 more
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Stability of helicoidal surfaces with constant mean curvature
International Journal of Mathematics for Industry, 2020 Motivated by an experimental result on the shape of liquid water supported by a small stainless helical wire, we find a class of stable helicoidal convex surfaces with constant mean curvature whose boundary consists of a single helix and two short arcs.
Yuta Hatakeyama, Miyuki Koiso
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On hypersurfaces of Lorentzian standard 4-space forms satisfying a biconservativity condition [PDF]
Journal of Mahani Mathematical Research, 2023 In this manuscript, we consider an extended version of biconservativity condition (namely, ${\textrm C}$-biconservativity) on the Riemannian hypersurfaces of Lorentzian standard 4-space forms.
Firooz Pashaie
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A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2022 We aimed to study constant mean curvature foliations of noncompact Riemannian manifolds, satisfying some geometric constraints. As a byproduct, we answer a question by M. P. do Carmo (see Introduction) about the leaves of such foliations.
S. Ilias, B. Nelli, M. Soret
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