Generalized Weierstrass representations of surfaces with the constant Gauss curvature in pseudo-Riemannian three-dimensional space forms

DOI10.1063/1.2714002zbMath1137.53305OpenAlexW1968344820WikidataQ115333582 ScholiaQ115333582MaRDI QIDQ3442264

Qiaoling Xia

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2714002

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (1)

Conformally flat Lorentzian hypersurfaces in \(\mathbb{R}_1^4\) with a pair of complex conjugate principal curvatures

Cites Work

• Isometric immersions of pseudo-Riemannian space forms
• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Weierstrass type representation of harmonic maps into symmetric spaces
• A simple way for determining the normalized potentials for harmonic maps
• On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures
• Initial value problems of the sine-Gordon equation and geometric solutions
• Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
• Bäcklund Transformations and Inverse Scattering Solutions for Some Pseudospherical Surface Equations
• AFFINE SOLITONS: A RELATION BETWEEN TAU FUNCTIONS, DRESSING AND BÄCKLUND TRANSFORMATIONS
• Nonlinear hyperbolic equations in surface theory: Integrable discretizations and approximation results

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