Generalized Weierstrass representation of surfaces in \(\mathbb R^4\)

DOI10.1016/j.geomphys.2006.02.013zbMath1107.53004OpenAlexW2022042101MaRDI QIDQ864242

Weihuan Chen, Jian-Hua Chen

Publication date: 13 February 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.02.013

zbMATH Keywords

surfaceWeierstrass representationconformal immersionsinh-Laplace equation

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Soliton equations (35Q51)

Related Items (2)

Torus solutions to the Weierstrass-Enneper representation of surfaces ⋮ The spacelike surface with parallel mean curvature vector in \(\mathbb R^{3, 1}\)

Cites Work

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• Quaternionic analysis on Riemann surfaces and differential geometry
• Weierstrass formula for surfaces of prescribed mean curvature
• Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
• A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in R3 into the hyperbolic 3-space.
• Submanifolds with Constant Mean Curvature
• Constant mean curvature surfaces via an integrable dynamical system
• Modified Novikov--Veselov equation and differential geometry of surfaces
• Induced Surfaces and Their Integrable Dynamics

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