Results 11 to 20 of about 1,461,926 (181)

Loop Weierstrass Representation

Differential Geometry and its Applications
We introduce the Loop Weierstrass Representation for minimal surfaces in Euclidean space and constant mean curvature 1 surfaces in hyperbolic space by applying integral system methods to the Weierstrass and Bryant representations. We unify associated families, dual surfaces and Goursat transformations under the same holomorphic data, we introduce a ...
Thomas Raujouan, Nick Schmitt, Jonas Ziefle   +2 more
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The Weierstrass Representation always gives a minimal surface

, 2012
4 pages, 2 ...
Roshan Sharma
openaire   +4 more sources

WEIERSTRASS REPRESENTATION OF PERIODIC MINIMAL SURFACES [PDF]

Le Journal de Physique Colloques, 1990
A general algorithm for the construction of infinite periodic minimal surfaces (IPMS) via their Weierstrass function is outlined, enabling parameterisation of known examples, and forming the bases of a systematic search for all such surfaces. For the 'regular' class of IPMS (including the low genus surfaces) the Weierstrass function has a simple form ...
A. FOGDEN
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Minimal Surfaces and The Weierstrass-Enneper Representation [PDF]

, 2020
The field of minimal surfaces is an intriguing study, not only because of the exotic structures that these surfaces admit, but also for the deep connections among various mathematical disciplines.
Snyder, Evan
core   +7 more sources

Representation of cyclic groups in positive characteristic and Weierstrass semigroups [PDF]

Journal of Number Theory, 2013
15 ...
Karanikolopoulos, S., Kontogeorgis, A.
core   +5 more sources

A Weierstrass Representation Formula for Discrete Harmonic Surfaces [PDF]

Symmetry, Integrability and Geometry: Methods and Applications
A discrete harmonic surface is a trivalent graph which satisfies the balancing condition in the 3-dimensional Euclidean space and achieves energy minimizing under local deformations. Given a topological trivalent graph, a holomorphic function, and an associated discrete holomorphic quadratic form, a version of the Weierstrass representation formula for
Kotani, Motoko, Naito, Hisashi
openaire   +4 more sources

The Algebraic Surfaces of the Enneper Family of Maximal Surfaces in Three Dimensional Minkowski Space

Axioms, 2021
We consider the Enneper family of real maximal surfaces via Weierstrass data (1,ζm) for ζ∈C, m∈Z≥1. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space E2,1.
Erhan Güler
doaj   +1 more source

(ζ^−m, ζ^m)-Type Algebraic Minimal Surfaces in Three-Dimensional Euclidean Space

Axioms, 2022
We introduce the real minimal surfaces family by using the Weierstrass data (ζ−m,ζm) for ζ∈C, m∈Z≥2, then compute the irreducible algebraic surfaces of the surfaces family in three-dimensional Euclidean space E3. In addition, we propose that family has a
Erhan Güler, Ömer Kişi
doaj   +1 more source

ON A CARLEMAN PROBLEM IN THE CASE OF A DOUBLY PERIODIC GROUP

Проблемы анализа, 2022
Let Г be a doubly periodic group whose fundamental region 𝐷 is a rectangle, in which the ratio of the largest side to the shortest one does not exceed 3.
F. N. Garif’yanov, E. V. Strezhneva
doaj   +1 more source

WEIERSTRASS–KENMOTSU REPRESENTATION OF WILLMORE SURFACES IN SPHERES [PDF]

Nagoya Mathematical Journal, 2020
A Willmore surface $y:M\rightarrow S^{n+2}$ has a natural harmonic oriented conformal Gauss map $Gr_{y}:M\rightarrow SO^{+}(1,n+3)/SO(1,3)\times SO(n)$, which maps each point $p\in M$ to its oriented mean curvature 2-sphere at $p$. An easy observation shows that all conformal Gauss maps of Willmore surfaces satisfy a restricted nilpotency condition ...
JOSEF F. DORFMEISTER, PENG WANG
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