Results 31 to 40 of about 19,178 (296)
Constant mean curvature surfaces into homogeneous manifolds [PDF]
, 2020 L'objectif de cette thèse est d'étudier les surfaces à courbure moyenne constante dans des variétés homogènes de dimension 3 avec un groupe d'isométries de dimension 4. Dans la première partie de cette thèse, nous étudions les surfaces à courbure moyenne
Oliveira, Iury Rafael Domingos de
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Axioms, 2020 A marginally trapped surface in a spacetime is a Riemannian surface whose mean curvature vector is lightlike at every point. In this paper we give an up-to-date overview of the differential geometric study of these surfaces in Minkowski, de Sitter, anti ...
Kristof Dekimpe, Joeri Van der Veken
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A general halfspace theorem for constant mean curvature surfaces [PDF]
, 2013 3 figuresInternational audienceIn this paper, we prove a general halfspace theorem for constant mean curvature surface. Under certain hypothesis, we prove that, in an ambient space $M^3$, any constant mean curvature $H_0$ surface on one side of a ...
Mazet, Laurent
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The rigidity of embedded constant mean curvature surfaces [PDF]
, 2011 In this paper, we prove rigidity of certain complete surfaces embedded in R-3 with constant mean curvature. We also show that for certain complete surfaces embedded in R-3 with constant mean curvature, intrinsic isometries extend to isometries of R-3 or ...
Tinaglia, Giuseppe; id_orcid +3 more
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Surfaces of Constant Curvature in the Pseudo-Galilean Space
International Journal of Mathematics and Mathematical Sciences, 2012 We develop the local theory of surfaces immersed in the pseudo-Galilean space, a special type of Cayley-Klein spaces. We define principal, Gaussian, and mean curvatures.
Željka Milin Šipuš, Blaženka Divjak
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Constant mean curvature surfaces with three ends [PDF]
Proceedings of the National Academy of Sciences, 2000 We announce the classification of complete almost embedded surfaces of constant mean curvature, with three ends and genus zero. They are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.
Grosse-Brauckmann, K +2 more
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Surfaces of Constant Mean Curvature [PDF]
, 2020 U ovome radu ćemo razmatrati pojam ploha konstantne srednje zakrivljenosti te navesti brojne primjere takvih ploha. Osim u diferencijalnoj geometriji, plohe konstantne srednje zakrivljenosti poznate su i u teoriji optimizacije, budući da predstavljaju ...
Kokanović, Karlo
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Parabolic stable surfaces with constant mean curvature [PDF]
, 2010 We prove that if u is a bounded smooth function in the kernel of a nonnegative Schrödinger operator −L = −( ∆ + q) on a parabolic Riemannian manifold M, then u is either identically zero or it has no zeros on M, and the linear space of such functions is
Rodríguez, Magdalena +5 more
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Geometry of CMC surfaces of finite index
Advanced Nonlinear Studies, 2023 Given r0>0{r}_{0}\gt 0, I∈N∪{0}I\in {\mathbb{N}}\cup \left\{0\right\}, and K0,H0≥0{K}_{0},{H}_{0}\ge 0, let XX be a complete Riemannian 3-manifold with injectivity radius Inj(X)≥r0\hspace{0.1em}\text{Inj}\hspace{0.1em}\left(X)\ge {r}_{0} and with the ...
Meeks William H., Pérez Joaquín
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Constant mean curvature surfaces with boundary on a sphere [PDF]
Applied Mathematics and Computation, 2013 In this article we study the shape of a compact surface of constant mean curvature of Euclidean space whose boundary is contained in a round sphere. We consider the case that the boundary is prescribed or that the surface meets the sphere with a constant angle. We study under what geometric conditions the surface must be spherical. Our results apply in
Rafael López, Juncheol Pyo
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