Results 271 to 280 of about 19,178 (296)

Surfaces of the Constant Mean Curvature

2015
“Soap bubble” may be called a physical system which is modeled by a surface of constant mean curvature in Euclidian three-dimensional space R 3.
S N Krivoshapko, Ivanov V N, Krivoshapko S N   +2 more
exaly   +2 more sources

Surfaces with Constant Mean Curvature [PDF]

, 2003
The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for ...
Kenmotsu, Katsuei
openaire   +2 more sources

Complex surfaces of constant mean curvature fibered by minimal surfaces [PDF]

Hokkaido Mathematical Journal, 2010
The published version is located at http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.hokmj/1274275018We define complex constant mean curvature immersions in complex three space using a natural extension of constant mean ...
Shimpei Kobayashi
exaly   +1 more source

Kenmotsu-Bryant type representation formula for constant mean curvature spacelike surfaces in H31(c2) [PDF]

Differential Geometry and Its Applications, 1998
Our primary object of this paper is to give a representation formula for constant mean curvature spacelike surfaces (including maximal surfaces) in the anti-de Sitter 3-space H31(c2) of constant negative curvature c2, similar to the Kenmotsu type ...
Kazuo Akutagawa
exaly   +2 more sources

On Discrete Constant Mean Curvature Surfaces

Discrete & Computational Geometry, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Computing surface of constant mean curvature with singularities

Computing, 1984
A finite element method is presented for the approximation of minimal surfaces with constant mean curvature. The surfaces are composed of several sheets meeting to form a singular curve. The results are compared against examples that have an exact solution.
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Constant Mean Curvature Surfaces in Hyperbolic Space

American Journal of Mathematics, 1992
The authors study the global geometry of complete, proper surfaces in hyperbolic \((n+1)\)-space with constant curvature \(>n\). Main results are, that such are never closed surfaces with only one puncture. If they have two punctures that are Delaunay cylinders, and if they have 3 punctures they remain a bounded distance from a geodesic plane.
KOREVAAR, NJ, KUSNER, R, MEEKS, WH, SOLOMON, B   +3 more
openaire   +1 more source

Existence and uniqueness of complete constant mean curvature surfaces at infinity ofH 3 [PDF]

Journal of Geometric Analysis, 1999
A set of conditions are given, each equivalent to the constancy of mean curvature of a surface in H3. It is shown that analogs of these equivalences exist for surfaces in S2∞, the bounding ideal sphere of H3, leading to a notion of constant mean ...
John A. Velling
exaly   +2 more sources

Constant Mean Curvature Embedded Surfaces

2013
The interest in this chapter is what type of symmetries imposes a given a space closed curve \(\varGamma\subset \mathbb{R}^{3}\) on the shape of a compact cmc surface spanning Γ. In the context of embedded surfaces, this problem may be partially answered using the reflection technique of Alexandrov.
openaire   +1 more source

Rotation surfaces of constant Gaussian curvature and mean curvature in sub-Riemannian Heisenberg space $$\mathbb H^1$$

Journal of Geometry, 2022
JOSÉ Veloso
exaly