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Displaying 161 – 180 of 437

Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature

Rafael López, Esma Demir (2014)

Open Mathematics

We classify all helicoidal non-degenerate surfaces in Minkowski space with constant mean curvature whose generating curve is a the graph of a polynomial or a Lorentzian circle. In the first case, we prove that the degree of the polynomial is 0 or 1 and that the surface is ruled. If the generating curve is a Lorentzian circle, we prove that the only possibility is that the axis is spacelike and the center of the circle lies on the axis.

Higher genus minimal surfaces by growing handles out of a catenoid.

Meinhard Wohlgemuth (1991)

Manuscripta mathematica

Higher-genus Chen-Gackstatter surfaces and the Weierstrass representation for surfaces of infinite genus.

Thayer, Edward C. (1995)

Experimental Mathematics

How to blow infinitely large soap bubbles with a fixed boundary

Rugang Ye (1991)

Annales de l'I.H.P. Analyse non linéaire

H-surface index formula

Ruben Jakob (2005)

Annales de l'I.H.P. Analyse non linéaire

Hypersurfaces of prescribed mean curvature enclosing a given body.

Martin Fuchs (1991)

Manuscripta mathematica

Hypersurfaces with constant $k$ -th mean curvature in a Lorentzian space form

Shichang Shu (2010)

Archivum Mathematicum

In this paper, we study $n (n \geq 3)$ -dimensional complete connected and oriented space-like hypersurfaces $M^{n}$ in an (n+1)-dimensional Lorentzian space form $M_{1}^{n + 1} (c)$ with non-zero constant $k$ -th $(k < n)$ mean curvature and two distinct principal curvatures $λ$ and $μ$ . We give some characterizations of Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ and show that the Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ is the only complete connected and oriented space-like hypersurface in $M_{1}^{n + 1} (c)$ with constant $k$ -th mean curvature and two distinct principal curvatures, if the multiplicities of...

Hypersurfaces with Constant Mean Curvature and Prescribed Area.

Frank Duzaar (1996)

Manuscripta mathematica

Hypersurfaces with constant scalar curvature in a hyperbolic space form.

Liu, Ximin, Su, Weihong (2002)

Balkan Journal of Geometry and its Applications (BJGA)

Hypersurfaces with constant scalar or mean curvature in a unit sphere.

Shu, Shichang, Han, Annie Yi (2009)

Balkan Journal of Geometry and its Applications (BJGA)

Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds

Mouhamed Moustapha Fall, Fethi Mahmoudi (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Given a domain $Ω$ of $ℝ^{m + 1}$ and a $k$ -dimensional non-degenerate minimal submanifold $K$ of $\partial Ω$ with $1 \leq k \leq m - 1$ , we prove the existence of a family of embedded constant mean curvature hypersurfaces in $Ω$ which as their mean curvature tends to infinity concentrate along $K$ and intersecting $\partial Ω$ perpendicularly along their boundaries.

Il problema di Plateau in domini illimitati

Elisabetta Barozzi (1983)

Rendiconti del Seminario Matematico della Università di Padova

Infinite periodic discrete minimal surfaces without self-intersections.

Rossman, Wayne (2005)

Balkan Journal of Geometry and its Applications (BJGA)

Instabile Flächen konstanter mittlerer Krümmung. Vortrag, gehalten auf der DMV-Tagung in Stuttgart 1971.

Erhard Heinz (1972/1973)

Jahresbericht der Deutschen Mathematiker-Vereinigung

Instabile Flächen vorgeschriebener mittlerer Krümmung.

Gerhard Ströhmer (1980)

Mathematische Zeitschrift

Instabile Minimalflächen in Riemannschen Mannigfaltigkeiten nichtpositver Schnittkrümmung.

Gerhard Ströhmer (1980)

Journal für die reine und angewandte Mathematik

Instability of certain capillary surfaces.

Paul Concus, Robert Finn (1989)

Manuscripta mathematica

Instability of constant mean curvature surfaces of revolution in spherically symmetric spaces.

Sultana, Nahid (2008)

Balkan Journal of Geometry and its Applications (BJGA)

Interior curvature estimates for hypersurfaces of prescribed mean curvature

Klaus Ecker, Gerhard Huisken (1989)

Annales de l'I.H.P. Analyse non linéaire

Invariance groups of relative normals

Thomas Binder, Martin Wiehe (2005)

Banach Center Publications

We investigate a two-parameter family of relative normals that contains Manhart's one-parameter family and the centroaffine normal. The invariance group of each of these normals is classified, and variational problems are studied. The results are Euler-Lagrange equations for the hypersurfaces that are critical with respect to the area functionals of the induced and semi-Riemannian volume forms and a classification of the critical hyperovaloids in the two-parameter family.

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