Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space

DOI10.2991/jnmp.2002.9.3.8zbMath1061.35087arXivnlin/0302007OpenAlexW2114630524MaRDI QIDQ4780636

Paul Bracken, A. Michel Grundland

Publication date: 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0302007

zbMATH Keywords

string theoryconstant mean curvature surfacesmultisoliton solutionssigma models

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) PDEs in connection with quantum mechanics (35Q40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (2)

The generalized Weierstrass system and an application to the study of deformations of surfaces by means of integrable hierarchies ⋮ Torus solutions to the Weierstrass-Enneper representation of surfaces

Cites Work

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• Symmetry properties and explicit solutions of the generalized Weierstrass system
• Deformation of surfaces, integrable systems, and Chern–Simons theory
• Soliton curvatures of surfaces and spaces
• M(atrix) theory: matrix quantum mechanics as a fundamental theory
• The Gauss Map of Surfaces in R³ and R⁴
• On Certain Classes of Solutions of the Weierstrass-Enneper System Inducing Constant Mean Curvature Surfaces
• Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy
• On rigid string instantons in four dimensions

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