EuDML | Browse

Page 1

Displaying 1 – 13 of 13

Harmonic Mappings and Minimal Submanifolds.

J. Jost, S. Hildebrandt, K.-O. Widman (1980/1981)

Inventiones mathematicae

Harnack Inequalities for Nonuniformly Elliptic Divergence Structure Equations.

Neil S. Trudinger (1981)

Inventiones mathematicae

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.

Displaying 1 – 13 of 13

Currently displaying 1 – 13 of 13