Results 81 to 90 of about 1,461,926 (181)

Generalized Weierstrass representation for surfaces in Heisenberg spaces

Differential Geometry and its Applications, 2012
It is well-known that constant mean curvature surfaces immersed in Euclidean \(3\)-space admit an integral representation in terms of their Gauss maps which resembles the classical Weierstrass representation for minimal surfaces, and these also have harmonic Gauss map with target given by some Grassmannian space.
Alías, Luis J., de Lira, Jorge H.S., Hinojosa, Jorge A.   +2 more
openaire   +1 more source

A Weierstrass Type Representation for Surfaces in Hyperbolic Space with Mean Curvature One

, 1998
The subject of this paper is to give a Weierstrass type representation for mean curvature one surfaces in the hyperbolic space. This representation depends on the hyperbolic Gauss map.
NELLI, BARBARA, GALVAO M. E, GOES C.
core   +2 more sources

Lliurament premis als guanyadors del Concurs Weierstrass

, 2015
Aquest concurs està organitzat conjuntament per M. Rosa Massa, professora de l'assignatura Història de la matemàtica de l'FME, i la Biblioteca FME. És una activitat per donar suport al curs 2014-15 dedicat a Karl Theodor Wilhelm Weierstrass (1815-1897)
Massa Esteve, Maria Rosa, Flaquer Fabregat, Gemma   +1 more
core   +1 more source

Foreground and background: fractal unity of art and science

Frontiers in Physics
IntroductionIn the last 50 years, fractals have been embraced by both artists and scientists. In this study, we link fractals to the question: What is the relationship between art and science?
Joseph O’Neill, Joseph O’Neill, Iliyan Ivanov, Iliyan Ivanov, Giselle M. Petzinger, Michael W. Jakowec   +5 more
doaj   +1 more source

The spiral minimal surfaces and their Legendre and Weierstrass representations

Differential Geometry and its Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiselev, A., Varlamov, V.
openaire   +5 more sources

A generalized Weierstrass representation of Lorentzian surfaces in ℝ2,2 and applications [PDF]

International Journal of Geometric Methods in Modern Physics, 2016
We give a generalized Weierstrass formula for a Lorentz surface conformally immersed in the four-dimensional space [Formula: see text] using spinors and Lorentz numbers. We also study the immersions of a Lorentzian surface in the Anti-de Sitter space (a pseudo-sphere in [Formula: see text]): we give a new spinor representation formula and deduce the ...
openaire   +3 more sources

The Weierstrass representation of closed surfaces in R³

, 1997
In the present paper which a sequel to [19] and [20] a global Weierstrass representation of an arbitrary closed oriented surface of genus 1 in the the three-space is constructed.
I. A. Taimanov
core  

Weierstrass representation degree and classes of the surfaces in the four dimensional Euclidean space

, 2017
We study two parameters families of Bour-type and Enneper-type minimal surfaces using the Weierstrass representation in the four dimensional Euclidean space.
Güler, Erhan, Kişi, Ömer
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The nonparametric integral of the Calculus of Variations as a Weierstrass integral: Existence and representation

Journal of Mathematical Analysis and Applications, 1985
This article is reviewed together with the following one.
BRANDI, Primo, SALVADORI, Anna
openaire   +3 more sources

Weierstrass representation, degree and classes of the surfaces in the four dimensional euclidean space

, 2016
In this talk, we present on a minimal surface using Weierstrass representation inthe four dimensional Euclidean space.
Güler, Erhan, Saraçoğlu, Semra, Kişi, Ömer   +2 more
core   +1 more source