The generalized Weierstrass system inducing surfaces of constant and nonconstant mean curvature in Euclidean three space

DOI10.1016/J.CAM.2005.07.043zbMath1113.53004OpenAlexW2043490571MaRDI QIDQ875355

Paul Bracken

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.043

zbMATH Keywords

nonlinear sigma modelsymmetry reduction

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (2)

Weierstrass representations for triply orthogonal and conformal Euclidean and Lorentzian systems ⋮ Generalized Weierstrass-Enneper representations of Euclidean, spacelike, and timelike surfaces: a unified Lie-algebraic formulation

Cites Work

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• The Weierstrass–Enneper system for constant mean curvature surfaces and the completely integrable sigma model
• On Complete Integrability of the Generalized Weierstrass System
• Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy
• Induced Surfaces and Their Integrable Dynamics
• REDUCTIONS OF CHERN–SIMONS THEORY RELATED TO INTEGRABLE SYSTEMS WHICH HAVE GEOMETRIC APPLICATIONS
• SPIN MODEL EQUATIONS, CONNECTIONS WITH INTEGRABLE SYSTEMS AND APPLICATIONS TO MAGNETIC VORTICES

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